-
1
-
-
0003976305
-
Stochastic Differential Equations: Theory and Alications
-
John Wiley and Sons
-
Arnold, L. (1974), Stochastic Differential Equations: Theory and Applications, John Wiley and Sons.
-
(1974)
-
-
Arnold, L.1
-
3
-
-
0002923716
-
On unique ergodicity for degenerate diffusions
-
Arnold, L. and Khemann, W. (1987), On unique ergodicity for degenerate diffusions, Stochastics 21, pp41-61.
-
(1987)
Stochastics
, vol.21
, pp. 41-61
-
-
Arnold, L.1
Khemann, W.2
-
4
-
-
0001881373
-
Almost sure and moment stabiUty for linear Ito equations
-
Arnold, L., Oeljeklaus, E. and Piirdoux, E. (1984), Almost sure and moment stabiUty for linear Ito equations, Lecture Note in Math. 1186, ppl29-159.
-
(1984)
Lecture Note in Math
, vol.1186
-
-
Arnold, L.1
Oeljeklaus, E.2
Piirdoux, E.3
-
5
-
-
24344490836
-
Stochastic delay population dynamics
-
Bahar, A. and Mao, X. (2004a), Stochastic delay population dynamics. Journal of International Applied Math. ll(4),pp377-400.
-
(2004)
Journal of International Alied Math
, vol.ll
, Issue.4
, pp. 377-400
-
-
Bahar, A.1
Mao, X.2
-
6
-
-
1942508139
-
Stochastic delay Lotka^Volterra model
-
Bahar, A. and Mao, X. (2004b), Stochastic delay Lotka^Volterra model, J. Math. Anal. Appl. 292, pp364-380.
-
(2004)
J. Math. Anal. Al.
, vol.292
, pp. 364-380
-
-
Bahar, A.1
Mao, X.2
-
7
-
-
21844497123
-
A stochastic Hopf bifurcation
-
Baxendale, P. (1994), A stochastic Hopf bifurcation, Probab. Theory Relat. Fields 99, pp581-616.
-
(1994)
Probab. Theory Relat. Fields
, vol.99
, pp. 581-616
-
-
Baxendale, P.1
-
8
-
-
33846312782
-
StabiUzation of a linear system
-
Baxendide, P. and Henning, E.M. (1993), StabiUzation of a linear system. Random Comput. Dyn. 1(4), pp395-421.
-
(1993)
Random Comput. Dyn.
, vol.1
, Issue.4
, pp. 395-421
-
-
Baxendide, P.1
Henning, E.M.2
-
10
-
-
0007348750
-
On the solution of stochastic differential equations via smaU delays
-
Bell, D.R. and Mohammed, S.E.A. (1989), On the solution of stochastic differential equations via smaU delays, Stochastics and Stochastics Reports 29, pp293-299.
-
(1989)
Stochastics and Stochastics Reports
, vol.29
, pp. 293-299
-
-
Bell, D.R.1
Mohammed, S.E.A.2
-
11
-
-
0003554930
-
Differential-Difference Equations
-
Academic Press
-
Belhnan, R. and Cooke, K.L. (1963), Differential-Difference Equations, Academic Press.
-
(1963)
-
-
Belhnan, R.1
Cooke, K.L.2
-
12
-
-
0002660254
-
Lectures on stochastic control
-
Springer
-
Bensoussan, A. (1982), Lectures on stochastic control, Lecture Notes in Math. 972, Springer.
-
(1982)
Lecture Notes in Math
, vol.972
-
-
Bensoussan, A.1
-
13
-
-
0001798105
-
A generalization of a lemma of Bellman and its ahcation to uniqueness problem of differential equations
-
Bihari, I. (1957), A generalization of a lemma of Bellman and its apphcation to uniqueness problem of differential equations, Acta Math. Acad. Sci. Hungar. 7, pp71-94.
-
(1957)
Acta Math. Acad. Sci. Hungar.
, vol.7
, pp. 71-94
-
-
Bihari, I.1
-
14
-
-
0343620817
-
Theorie probabiliste du controle des diffusions
-
Mem. Amer. Math. Soc. No. 176
-
Bismut, J.M. (1973), Theorie probabiliste du controle des diffusions, Mem. Amer. Math. Soc. No. 176.
-
(1973)
-
-
Bismut, J.M.1
-
15
-
-
85015692260
-
The prices of options and corporate liabilities
-
Black, F. and Scholes, M. (1973), The prices of options and corporate liabilities, J. Pohtical Economy 81, 637-654.
-
(1973)
J. Pohtical Economy
, vol.81
, pp. 637-654
-
-
Black, F.1
Scholes, M.2
-
16
-
-
0000346338
-
Nonhnear oscillations in a distributed network
-
Brayton, R. (1976), Nonhnear oscillations in a distributed network, Quart. Appl. Math. 24, pp289 301.
-
(1976)
Quart. Al. Math.
, vol.24
, pp. 301
-
-
Brayton, R.1
-
17
-
-
0009404487
-
Stabihty and positive supermartingales
-
Bucy, H.J. (1965), Stabihty and positive supermartingales, J. Differential Equation 1, ppl51-155.
-
(1965)
J. Differential Equation
, vol.1
-
-
Bucy, H.J.1
-
18
-
-
80052818522
-
Nonlinear Stochastic Integrators
-
Equations and Flows, Gordon and Breach
-
Carmona, R. and Nulart, D. (1990), Nonlinear Stochastic Integrators, Equations and Flows, Gordon and Breach.
-
(1990)
-
-
Carmona, R.1
Nulart, D.2
-
19
-
-
84977707412
-
An empirical comparison of alternative models of the short term interest rate
-
Chan, K.C., Karolyi, G.A., Longstaff, F.A. and Sanders, A.B. (1992), An empirical comparison of alternative models of the short term interest rate, Journal of Finance 47, ppl209 1227.
-
(1992)
Journal of Finance
, vol.47
-
-
Chan, K.C.1
Karolyi, G.A.2
Longstaff, F.A.3
Sanders, A.B.4
-
20
-
-
0020191373
-
Stability of nonlinear stochastic evolution equations
-
Chow, P. (1982), Stability of nonlinear stochastic evolution equations, J. Math. Anal. Appl. 89, pp400-419.
-
(1982)
J. Math. Anal. Al.
, vol.89
, pp. 400-419
-
-
Chow, P.1
-
21
-
-
0003536628
-
Theory of Ordinary Differential Equations
-
McGraw-Hill
-
Coddington, R.F. and Levinson, N. (1955), Theory of Ordinary Differential Equations, McGraw-Hill.
-
(1955)
-
-
Coddington, R.F.1
Levinson, N.2
-
22
-
-
0003511169
-
Infinite Dimensional Linear System Theory, Lecture Notes in Control and Information Sciences 8
-
Springer
-
Curtain, R.F. and Pritchard, A.J. (1978), Infinite Dimensional Linear System Theory, Lecture Notes in Control and Information Sciences 8, Springer.
-
(1978)
-
-
Curtain, R.F.1
Pritchard, A.J.2
-
23
-
-
0003805690
-
Stochastic Equations in Infinite Dimensions
-
Cambridge University Press
-
Da Prato, G. and Zabczyk, J. (1992), Stochastic Equations in Infinite Dimensions, Cambridge University Press.
-
(1992)
-
-
Da Prato, G.1
Zabczyk, J.2
-
24
-
-
84882679111
-
Linear Stochastic Systems
-
Chapman and Hall
-
Davis, M. (1994), Linear Stochastic Systems, Chapman and Hall.
-
(1994)
-
-
Davis, M.1
-
25
-
-
0004217806
-
Probabilites et Potentiels, 2e edition
-
Dellacherie, C. and Meyer, P.A. (1980), Probabilites et Potentiels, 2e edition, Chapitres V-VIII, Hermann.
-
(1980)
Chapitres V-VIII, Hermann
-
-
Dellacherie, C.1
Meyer, P.A.2
-
26
-
-
84882593856
-
Neural Networks for Computing, Proceedings of the Conference on Neural Networks for Computing (Snowbird, UT 1986)
-
AIP, New York, 1986
-
Denker, J.S.(1986), Neural Networks for Computing, Proceedings of the Conference on Neural Networks for Computing (Snowbird, UT, 1986), AIP, New York, 1986.
-
(1986)
-
-
Denker, J.S.1
-
27
-
-
84882640212
-
Equations Differentilles Stochastiques
-
Sem. Probab. XI, Lect. Notes in Math. 581
-
Doleans-Dade, C. and Meyer, P.A. (1977), Equations Differentilles Stochastiques, Sem. Probab. XI, Lect. Notes in Math. 581.
-
(1977)
-
-
Doleans-Dade, C.1
Meyer, P.A.2
-
28
-
-
0003954462
-
Stochastic Processes
-
John Wiley
-
Doob, J.L. (1953), Stochastic Processes, John Wiley.
-
(1953)
-
-
Doob, J.L.1
-
29
-
-
0002621704
-
A functional differential system of neutral type arising in a two-body problem of classical electrodynamics
-
Academic Press
-
Driver, R.D. (1963), A functional differential system of neutral type arising in a two-body problem of classical electrodynamics, in "Nonlinear Differential Equations and Nonlinear Mechanics," Academic Press, pp474-484.
-
(1963)
Nonlinear Differential Equations and Nonlinear Mechanics
, pp. 474-484
-
-
Driver, R.D.1
-
30
-
-
0013588860
-
Single-species model for population growth depending on past history
-
Dunkel, G. (1968), Single-species model for population growth depending on past history. Lecture Notes in Math. 60, pp92-99.
-
(1968)
Lecture Notes in Math
, vol.60
, pp. 92-99
-
-
Dunkel, G.1
-
31
-
-
0041133246
-
The optimum choice of the instant for stoing a Markov process
-
Dynkin,E.B. (1963), The optimum choice of the instant for stopping a Markov process, Soviet Mathematics 4, 627-629.
-
(1963)
Soviet Mathematics
, vol.4
, pp. 627-629
-
-
Dynkin, E.B.1
-
32
-
-
0004188078
-
Markov Processes
-
Vol.1 and 2, Springer
-
Dynkin, E.B. (1965), Markov Processes, Vol.1 and 2, Springer.
-
(1965)
-
-
Dynkin, E.B.1
-
33
-
-
84882706050
-
Stochastic Calculus and Alications
-
Springer
-
Elliott, R.J. (1982), Stochastic Calculus and Applications, Springer.
-
(1982)
-
-
Elliott, R.J.1
-
34
-
-
0003474350
-
Stochastic Differential Equations on Manifolds
-
London Math. Society, Lect. Notes Series 70, C. U. P
-
Elworthy, K.D. (1982), Stochastic Differential Equations on Manifolds, London Math. Society, Lect. Notes Series 70, C. U. P.
-
(1982)
-
-
Elworthy, K.D.1
-
35
-
-
0001501663
-
Kinetics of the circulating fuel nuclear reaction
-
Ergen, W.K. (1954), Kinetics of the circulating fuel nuclear reaction, J. Appl. Phys. 25, pp702-711.
-
(1954)
J. Al. Phys.
, vol.25
, pp. 702-711
-
-
Ergen, W.K.1
-
36
-
-
0003919006
-
Functional Integration and Partial DifFerentiai Equations
-
Princeton University Press
-
Freidlin, M.I. (1985), Functional Integration and Partial DifFerentiai Equations, Princeton University Press.
-
(1985)
-
-
Freidlin, M.I.1
-
37
-
-
0003957604
-
Random Perturbations of Dynamical Systems
-
Springer
-
Freidlin, M.I. and Wentzell, A.D. (1984), Random Perturbations of Dynamical Systems, Springer.
-
(1984)
-
-
Freidlin, M.I.1
Wentzell, A.D.2
-
38
-
-
0003933434
-
Stochastic DifFerentiai Equations and Alications
-
Vol.1 and 2, Academic Press
-
Friedman, A. (1975), Stochastic DifFerentiai Equations and Applications, Vol.1 and 2, Academic Press.
-
(1975)
-
-
Friedman, A.1
-
39
-
-
0003692170
-
Introduction to Stochastic Differential Equations
-
Marcel Dekker
-
Gard, T.C. (1988), Introduction to Stochastic Differential Equations, Marcel Dekker.
-
(1988)
-
-
Gard, T.C.1
-
40
-
-
0004018481
-
Stochastic Differential Equations
-
Springer
-
Gikhman, I.I. and Skorohod, A.V. (1972), Stochastic Differential Equations, Springer.
-
(1972)
-
-
Gikhman, I.I.1
Skorohod, A.V.2
-
41
-
-
0040085123
-
An example of nonuniqueness of the solution of K. Ito's stochastic equations
-
Girsanov, I.V. (1962), An example of nonuniqueness of the solution of K. Ito's stochastic equations, Teoriya veroyatnostey i yeye primeneniya 7, pp336-342.
-
(1962)
Teoriya veroyatnostey i yeye primeneniya
, vol.7
, pp. 336-342
-
-
Girsanov, I.V.1
-
42
-
-
0003400854
-
Stability and Oscillations in Delay Differential Equations of Population Dynamics
-
Kluwer Academic Publishers
-
Gopalsamy, K. (1992), Stability and Oscillations in Delay Differential Equations of Population Dynamics, Kluwer Academic Publishers.
-
(1992)
-
-
Gopalsamy, K.1
-
43
-
-
0003980507
-
Stability of Motion
-
Springer
-
Hahn, W. (1967), Stability of Motion, Springer.
-
(1967)
-
-
Hahn, W.1
-
44
-
-
0003492055
-
Introduction to Functional Differential Equations
-
Springer
-
Hale, J.K. and Lunel, S.M.V. (1993), Introduction to Functional Differential Equations, Springer.
-
(1993)
-
-
Hale, J.K.1
Lunel, S.M.V.2
-
45
-
-
0004207439
-
Measure Theory
-
Springer
-
Halmos, P.R. (1974), Measure Theory, Springer.
-
(1974)
-
-
Halmos, P.R.1
-
46
-
-
0001549366
-
Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems
-
Has'minskii, R.Z. (1967), Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems. Theory Probability Appl. 12, ppl44-147.
-
(1967)
Theory Probability Al
, vol.12
-
-
Has'minskii, R.Z.1
-
47
-
-
0003649950
-
Stochastic Stability of Differential Equations
-
Alphen: Sijtjoff and Noordhoff (translation of the Russian edition, Moscow, Nauka 1969)
-
Has'minskii, R.Z. (1980), Stochastic Stability of Differential Equations, Alphen: Sijtjoff and Noordhoff (translation of the Russian edition, Moscow, Nauka 1969).
-
(1980)
-
-
Has'minskii, R.Z.1
-
48
-
-
0003808165
-
A Stochastic Maximum Principle for Optimal Control of Diffusions
-
Pitman Research Notes in Math 151 Longman
-
Haussmann, U.G. (1986), A Stochastic Maximum Principle for Optimal Control of Diffusions, Pitman Research Notes in Math. 151, Longman.
-
(1986)
-
-
Haussmann, U.G.1
-
49
-
-
33749566186
-
Convergence of Monte Carlo simulations involving the mean-reverting square root process
-
Higham, D.J. and Mao, X. (2005), Convergence of Monte Carlo simulations involving the mean-reverting square root process. Journal of Computational Finance 8, pp.35-61.
-
(2005)
Journal of Computational Finance
, vol.8
, pp. 35-61
-
-
Higham, D.J.1
Mao, X.2
-
50
-
-
0020118274
-
Neural networks and physical systems with emergent collect computational abilities
-
Hopfield, J.J. (1982), Neural networks and physical systems with emergent collect computational abilities, Proc. Natl. Acad. Sci. USA 79, pp2554-2558.
-
(1982)
Proc. Natl. Acad. Sci. USA
, vol.79
, pp. 2554-2558
-
-
Hopfield, J.J.1
-
51
-
-
0004469897
-
Neurons with graded response have collective computational properties like those of two-state neurons
-
Hopfield, J.J. (1984), Neurons with graded response have collective computational properties like those of two-state neurons, Proc. Natl. Acad. Sci. USA 81, pp3088-3092.
-
(1984)
Proc. Natl. Acad. Sci. USA
, vol.81
, pp. 3088-3092
-
-
Hopfield, J.J.1
-
52
-
-
0040986075
-
Computing with neural circuits
-
Hopfield, J.J. and Tank, D.W. (1986), Computing with neural circuits. Model Science 233, pp3088-3092.
-
(1986)
Model Science
, vol.233
, pp. 3088-3092
-
-
Hopfield, J.J.1
Tank, D.W.2
-
53
-
-
0020204928
-
Stability of semilinear stochastic evolution equations
-
Ichikawa, A. (1982), Stability of semilinear stochastic evolution equations, J. Math. Anal. Appl. 90, ppl2-44.
-
(1982)
J. Math. Anal. Al.
, vol.90
-
-
Ichikawa, A.1
-
54
-
-
0003537037
-
Stochastic Differential Equations and Diffusion Processes
-
North-HoUand
-
Ikeda, N. and Watanabe, S. (1981), Stochastic Differential Equations and Diffusion Processes, North-HoUand.
-
(1981)
-
-
Ikeda, N.1
Watanabe, S.2
-
55
-
-
0040361170
-
Differential equations determining Markov processes
-
Ito, K. (1942), Differential equations determining Markov processes, Zenkoku Shijo Suguku Danwakai 1077, ppl352-1400.
-
(1942)
Zenkoku Shijo Suguku Danwakai
, vol.1077
-
-
Ito, K.1
-
56
-
-
0003516778
-
Calcul Stochastique et Problemes de Martingales
-
Lect. Notes in Math. 714, Springer
-
Jacod, J. (1979), Calcul Stochastique et Problemes de Martingales, Lect. Notes in Math. 714, Springer.
-
(1979)
-
-
Jacod, J.1
-
57
-
-
0007258650
-
A note on aroximation for stochastic differential equations, Seminaire de Probabilites 22
-
Kaneko, T. and Nakao, S. (1988), A note on approximation for stochastic differential equations, Seminaire de Probabilites 22, Lect. Notes Math. 1321, ppl55-162.
-
(1988)
Lect. Notes Math.
, vol.1321
-
-
Kaneko, T.1
Nakao, S.2
-
58
-
-
0004171561
-
Brownian Motion and Stochastic Calculus
-
Springer
-
Karatzas, I. and Shreve, S.E. (1988), Brownian Motion and Stochastic Calculus, Springer.
-
(1988)
-
-
Karatzas, I.1
Shreve, S.E.2
-
59
-
-
0003406270
-
Alied Theory of Functional Differential Ek[uations
-
Kluwer Academic Publishers
-
Kolmanovskii, V. and Myshkis, A. (1992), Applied Theory of Functional Differential Ek[uations, Kluwer Academic Publishers.
-
(1992)
-
-
Kolmanovskii, V.1
Myshkis, A.2
-
60
-
-
0003406270
-
Stability of Functional Differential Equations
-
Academic Press
-
Kolmanovskii, V.B. and Nosov, V.R. (1986), Stability of Functional Differential Equations, Academic Press.
-
(1986)
-
-
Kolmanovskii, V.B.1
Nosov, V.R.2
-
61
-
-
0002722044
-
Etude de I'equation de la diffusion avec croissance de al matiere et son alication a un probleme biologique
-
Kolmogorov, A., Petrovskii, I. and Piskunov, N. (1973), Etude de I'equation de la diffusion avec croissance de al matiere et son application a un probleme biologique, Moscow Univ. Math. Bell. 1, 1-25.
-
(1973)
Moscow Univ. Math. Bell.
, vol.1
, pp. 1-25
-
-
Kolmogorov, A.1
Petrovskii, I.2
Piskunov, N.3
-
62
-
-
0003988657
-
Stability of Motion
-
Standford University Press
-
Krasovskii, N. (1963), Stability of Motion, Standford University Press.
-
(1963)
-
-
Krasovskii, N.1
-
63
-
-
0004275483
-
Controlled Diffusion Processes
-
Springer
-
Krylov, N.V. (1980), Controlled Diffusion Processes, Springer.
-
(1980)
-
-
Krylov, N.V.1
-
64
-
-
0003743176
-
Delay Differential Equations with Alications in Population Dynamics
-
Academic Press
-
Kuang, Y. (1993), Delay Differential Equations with Applications in Population Dynamics, Academic Press.
-
(1993)
-
-
Kuang, Y.1
-
65
-
-
0003522827
-
Stochastic Flows and Stochastic Differential Ek}uations
-
Cambridge University Press
-
Kunita, H. (1990), Stochastic Flows and Stochastic Differential Ek}uations, Cambridge University Press.
-
(1990)
-
-
Kunita, H.1
-
66
-
-
43049166761
-
On the construction of stochastic Lyapunov functions
-
Kushner, H.J. (1965), On the construction of stochastic Lyapunov functions, IEEE Trans. Automatic Control AC-10, pp477-478.
-
(1965)
IEEE Trans. Automatic Control AC-10
, pp. 477-478
-
-
Kushner, H.J.1
-
67
-
-
84882567966
-
Stochastic Stabihty and Control
-
Academic Press
-
Kushner, H.J. (1967), Stochastic Stabihty and Control, Academic Press.
-
(1967)
-
-
Kushner, H.J.1
-
68
-
-
0004231457
-
Random Differential Inequahties
-
Academic Press
-
Ladde, G.S. and Lakshmikantham, V. (1980), Random Differential Inequahties, Academic Press.
-
(1980)
-
-
Ladde, G.S.1
Lakshmikantham, V.2
-
69
-
-
0003885950
-
Stability Analysis of Nonlinear Systems
-
Marcel Dekker
-
Lakshmikantham, V., Leeda, S. and Martynyuk, A.A. (1989), Stability Analysis of Nonlinear Systems, Marcel Dekker.
-
(1989)
-
-
Lakshmikantham, V.1
Leeda, S.2
Martynyuk, A.A.3
-
70
-
-
0041166080
-
Flots de diffusions dans Rd
-
Le Jan, Y. (1982), Flots de diffusions dans Rd, C. R. Acad. Sci., Paris, Ser. I 294 (1982), PP697-699.
-
(1982)
C. R. Acad. Sci., Paris, Ser. I
, vol.294
, pp. 697-699
-
-
Le Jan, Y.1
-
71
-
-
84882629060
-
-
Finance Press
-
Lewis, A.L. (2000), Option Valuation under Stochastic Volatility: with Mathematica Code, Finance Press.
-
(2000)
-
-
Lewis, A.L.1
-
72
-
-
21344469870
-
Exponential stability and instability of stochastic neural networks
-
Liao, X.X. and Mao, X. (1996a), Exponential stability and instability of stochastic neural networks, Sto. Anal. Appl. 14(2), ppl65-185.
-
(1996)
Sto. Anal. Al.
, vol.14
, Issue.2
-
-
Liao, X.X.1
Mao, X.2
-
73
-
-
0012544302
-
Stability of stochastic neural networks
-
Liao, X.X. and Mao, X. (1996b), Stability of stochastic neural networks. Neural, Parallel and Scientific Computations 4, pp205-224.
-
(1996)
Neural, Parallel and Scientific Computations
, vol.4
, pp. 205-224
-
-
Liao, X.X.1
Mao, X.2
-
74
-
-
84882645021
-
Stability of large-scale neutral-type stochastic differential equations, Dynamics of Continuous
-
Liao, X.X. and Mao, X. (1997), Stability of large-scale neutral-type stochastic differential equations, Dynamics of Continuous, Discrete and Impulsive Systems 3(1), pp43-56.
-
(1997)
Discrete and Impulsive Systems
, vol.3
, Issue.1
, pp. 43-56
-
-
Liao, X.X.1
Mao, X.2
-
75
-
-
84882676046
-
Theorey of Martingales
-
Klumer Academic Publishers
-
Liptser, R.Sh. and Shiryayev, A.N. (1986), Theorey of Martingales, Klumer Academic Publishers.
-
(1986)
-
-
Liptser, R.1
Shiryayev, A.N.2
-
76
-
-
0042107283
-
Probleme general de la stabilite du mouvement
-
Lyapunov, A.M. (1892), Probleme general de la stabilite du mouvement. Comm. Soc. Math. Kharkov 2, pp265-272.
-
(1892)
Comm. Soc. Math. Kharkov
, vol.2
, pp. 265-272
-
-
Lyapunov, A.M.1
-
77
-
-
84882591022
-
Liouville's formula for stochastic integral equations
-
Mao, X. (1983), Liouville's formula for stochastic integral equations. Journal of Fuzhou Univ. 3, pp8-19.
-
(1983)
Journal of Fuzhou Univ
, vol.3
, pp. 8-19
-
-
Mao, X.1
-
78
-
-
70449356266
-
Existence and uniqueness of the solutions of delay stochastic integral equations
-
Mao, X. (1989a), Existence and uniqueness of the solutions of delay stochastic integral equations, Sto. Anal. Appl. 7(1), pp59-74.
-
(1989)
Sto. Anal. Al.
, vol.7
, Issue.1
, pp. 59-74
-
-
Mao, X.1
-
79
-
-
77957179407
-
Eventual asymptotic stability for stochastic differential equations with respect to semimartingales
-
Mao, X. (1990a), Eventual asymptotic stability for stochastic differential equations with respect to semimartingales, Quarterly J. Math. Oxford (2), 41, pp71-77.
-
(1990)
Quarterly J. Math. Oxford (2)
, vol.41
, pp. 71-77
-
-
Mao, X.1
-
80
-
-
0025519126
-
Lyapunov functions and almost sure exponential stability of stochastic differential equations based on semimartingales with spatial parameters
-
Mao, X. (1990b), Lyapunov functions and almost sure exponential stability of stochastic differential equations based on semimartingales with spatial parameters, SIAM J. Control Optim. 28(6), ppl481-1490.
-
(1990)
SIAM J. Control Optim.
, vol.28
, Issue.6
-
-
Mao, X.1
-
81
-
-
45149135825
-
Exponential stability for stochastic differentied equations with respect to semimartingales
-
Mao, X. (1990c), Exponential stability for stochastic differentied equations with respect to semimartingales, Sto. Proce. Their Appl. 35, pp267-277.
-
(1990)
Sto. Proce. Their Al.
, vol.35
, pp. 267-277
-
-
Mao, X.1
-
82
-
-
34249918694
-
A note on global solution to stochastic differential equations based on semimartingales with spatial parameters
-
Mao, X. (1990d), A note on global solution to stochastic differential equations based on semimartingales with spatial parameters. Journal of Theoretical Probabihty 4(1), ppl61-167.
-
(1990)
Journal of Theoretical Probabihty
, vol.4
, Issue.1
-
-
Mao, X.1
-
83
-
-
0003806055
-
Stabihty of Stochastic Differential Equations with Respect to Semimartingales, Pitman Research Notes in Mathematics Series 251
-
Longman Scientific and Techniced
-
Mao, X. (1991a), Stabihty of Stochastic Differential Equations with Respect to Semimartingales, Pitman Research Notes in Mathematics Series 251, Longman Scientific and Techniced.
-
(1991)
-
-
Mao, X.1
-
84
-
-
0040986108
-
Almost sure exponential stability for delay stochastic differential equations with respect to semimartingales
-
Mao, X. (1991b), Almost sure exponential stability for delay stochastic differential equations with respect to semimartingales, Sto. Anal. Appl. 9(2), ppl77-194.
-
(1991)
Sto. Anal. Al.
, vol.9
, Issue.2
-
-
Mao, X.1
-
85
-
-
0001975037
-
A note on comparison theorems for stochastic differential equations with respect to semimartingales
-
Mao, X. (1991c), A note on comparison theorems for stochastic differential equations with respect to semimartingales, Stochastics and Stochastics Reports 37, pp49-59.
-
(1991)
Stochastics and Stochastics Reports
, vol.37
, pp. 49-59
-
-
Mao, X.1
-
86
-
-
25444484981
-
Aroximate solutions for a class of delay stochastic differential equations
-
Mao, X. (1991d), Approximate solutions for a class of delay stochastic differential equations, Stochastics and Stochastics Reports 35, ppl 11-123.
-
(1991)
Stochastics and Stochastics Reports
, vol.35
-
-
Mao, X.1
-
87
-
-
0039088136
-
Aroximate solutions for a class of stochastic evolution equations with variable delays
-
Mao, X. (1991e), Approximate solutions for a class of stochastic evolution equations with variable delays, Numer. Funct. Anal and Optimiz. 12, pp525-533.
-
(1991)
Numer. Funct. Anal and Optimiz.
, vol.12
, pp. 525-533
-
-
Mao, X.1
-
88
-
-
38249011596
-
Polynomial stability for perturbed stochastic differential equations with respect to semimartingales
-
Mao, X. (1992a), Polynomial stability for perturbed stochastic differential equations with respect to semimartingales. Stochastic Processes and Their Applications 41, pp101-116.
-
(1992)
Stochastic Processes and Their Alications
, vol.41
, pp. 101-116
-
-
Mao, X.1
-
89
-
-
0000963267
-
Almost sure polynomial stability for a class of stochastic differential equations
-
Mao, X. (1992b), Almost sure polynomial stability for a class of stochastic differential equations. Quarterly J. Math. Oxford (2) 43, pp339-348.
-
(1992)
Quarterly J. Math. Oxford
, Issue.2
, pp. 339-348
-
-
Mao, X.1
-
90
-
-
33747407438
-
Almost sure asymptotic bounds for a class of stochastic differential equations
-
Mao, X. (1992c), Almost sure asymptotic bounds for a class of stochastic differential equations, Stociiastics and Stociiastics Reports 41, pp57-69.
-
(1992)
Stociiastics and Stociiastics Reports
, vol.41
, pp. 57-69
-
-
Mao, X.1
-
91
-
-
34249832541
-
Solutions of stochastic differential-functional equations via bounded stochastic integral contractors
-
Mao, X. (1992d), Solutions of stochastic differential-functional equations via bounded stochastic integral contractors, J. Theoretical Probability 5(3), pp487-502.
-
(1992)
J. Theoretical Probability
, vol.5
, Issue.3
, pp. 487-502
-
-
Mao, X.1
-
92
-
-
0026895485
-
Exponential stability of large-scale stochastic differential equations
-
Mao, X. (1992e), Exponential stability of large-scale stochastic differential equations, Systems and Control Letters 19, pp71-81.
-
(1992)
Systems and Control Letters
, vol.19
, pp. 71-81
-
-
Mao, X.1
-
93
-
-
0026943180
-
Robustness of stability of nonlinear systems with stochastic delay perturbations
-
Mao, X. (1992f), Robustness of stability of nonlinear systems with stochastic delay perturbations. Systems and Control Letters 19, pp391-400.
-
(1992)
Systems and Control Letters
, vol.19
, pp. 391-400
-
-
Mao, X.1
-
94
-
-
84882628640
-
Almost sure exponential stability for a class of stochastic differential equations with alications to stochastic flows
-
Mao, X. (1993), Almost sure exponential stability for a class of stochastic differential equations with applications to stochastic flows, Sto. Anal. Appl. 11(1), PP77-95.
-
(1993)
Sto. Anal. Al.
, vol.11
, Issue.1
, pp. 77-95
-
-
Mao, X.1
-
95
-
-
0003582280
-
Exponential Stability of Stochastic Differential Ekiuations
-
Marcel Dekker
-
Mao, X. (1994a), Exponential Stability of Stochastic Differential Ekiuations, Marcel Dekker.
-
(1994)
-
-
Mao, X.1
-
96
-
-
0039086682
-
Aroximate solutions of stochastic diSierential equations with pathwise uniqueness
-
Mao, X. (1994b), Approximate solutions of stochastic diSierential equations with pathwise uniqueness, Sto. Anal. Appl. 13(3), pp355-367.
-
(1994)
Sto. Anal. Al.
, vol.13
, Issue.3
, pp. 355-367
-
-
Mao, X.1
-
97
-
-
0028518403
-
Stochastic stabilization and destabilization
-
Mao, X. (1994c), Stochastic stabilization and destabilization. Systems and Control Letters 23, pp279-290.
-
(1994)
Systems and Control Letters
, vol.23
, pp. 279-290
-
-
Mao, X.1
-
98
-
-
0000169259
-
Adapted solutions of backward stochastic differential equations with non-Lipschitz coefficients
-
Mao, X. (1995a) Adapted solutions of backward stochastic differential equations with non-Lipschitz coefficients. Stochastic Processes and Their Applications 58, pp281-292.
-
(1995)
Stochastic Processes and Their Alications
, vol.58
, pp. 281-292
-
-
Mao, X.1
-
99
-
-
0029496971
-
Exponential stability in mean square of neutral stochastic differential functional equations
-
Mao, X. (1995b) Exponential stability in mean square of neutral stochastic differential functional equations. Systems and Control Letters 26, pp245-251.
-
(1995)
Systems and Control Letters
, vol.26
, pp. 245-251
-
-
Mao, X.1
-
100
-
-
0030107717
-
Robustness of exponential stability of stochastic diiferential delay equations
-
Mao, X. (1996a), Robustness of exponential stability of stochastic diiferential delay equations, IEEE Transactions AC-41, pp442-447.
-
(1996)
IEEE Transactions AC-41
, pp. 442-447
-
-
Mao, X.1
-
101
-
-
0030604316
-
Razumikhin-type theorems on exponential stability of stochastic functional differentied equations
-
Mao, X. (1996b), Razumikhin-type theorems on exponential stability of stochastic functional differentied equations, Sto. Proc. Their Appl. 65, pp233-250.
-
(1996)
Sto. Proc. Their Al.
, vol.65
, pp. 233-250
-
-
Mao, X.1
-
103
-
-
0031488287
-
Razumikhin-type theorems on exponential stabihty of neutral stochastic functional differential equations
-
Mao, X. (1997), Razumikhin-type theorems on exponential stabihty of neutral stochastic functional differential equations, SIAM J. Math. Anal. 28(2), pp389-401.
-
(1997)
SIAM J. Math. Anal.
, vol.28
, Issue.2
, pp. 389-401
-
-
Mao, X.1
-
104
-
-
0036537615
-
A note on the LaSalle-type theorems for stochastic differential delay equations
-
Mao, X. (2002), A note on the LaSalle-type theorems for stochastic differential delay equations, J. Math. Anal. Appl. 268, ppl25-142.
-
(2002)
J. Math. Anal. Al.
, vol.268
-
-
Mao, X.1
-
105
-
-
33746315382
-
Delay population dynamics and environmental noise
-
Mao, X. (2005), Delay population dynamics and environmental noise, Stochastics and Dynamics 5(2), ppl49-162.
-
(2005)
Stochastics and Dynamics
, vol.5
, Issue.2
-
-
Mao, X.1
-
106
-
-
0242563961
-
Environmental noise suresses explosion in population dynamics
-
Mao, X., Marion, G. and Renshaw, E. (2002), Environmental noise suppresses explosion in population dynamics. Stochastic Processes and Their Applications 97, pp95-110.
-
(2002)
Stochastic Processes and Their Alications
, vol.97
, pp. 95-110
-
-
Mao, X.1
Marion, G.2
Renshaw, E.3
-
107
-
-
2942583806
-
Energy bounds for nonlinear dissipative stochastic differential equations with respect to semimartingales
-
Mao, X. and Markus, L. (1991), Energy bounds for nonlinear dissipative stochastic differential equations with respect to semimartingales, Stochastics and Stochastics Reports 37, ppl-14.
-
(1991)
Stochastics and Stochastics Reports
, vol.37
-
-
Mao, X.1
Markus, L.2
-
108
-
-
38249000292
-
Wave equations witii stociiastic boundary conditions
-
Mao, X. and Markus, L. (1993), Wave equations witii stociiastic boundary conditions, J. Matii. Anal. Appl. 177 (2), pp315-341.
-
(1993)
J. Matii. Anal. Al.
, vol.177
, Issue.2
, pp. 315-341
-
-
Mao, X.1
Markus, L.2
-
109
-
-
0041182215
-
Exponential stability of stochastic differential equations driven by discontinuous semimartingales
-
Mao, X. and Rodkina, A.E. (1995), Exponential stability of stochastic differential equations driven by discontinuous semimartingales, Stochastics and Stochastics Reports 55, pp207-224.
-
(1995)
Stochastics and Stochastics Reports
, vol.55
, pp. 207-224
-
-
Mao, X.1
Rodkina, A.E.2
-
110
-
-
14644388229
-
Stochastic differential delay equations of population dynamics
-
Mao, X., Yuan, C. and Zou, J. (2005), Stochastic differential delay equations of population dynamics. Journal of Math. Anal. Appl. 304, pp296-320.
-
(2005)
Journal of Math. Anal. Al.
, vol.304
, pp. 296-320
-
-
Mao, X.1
Yuan, C.2
Zou, J.3
-
111
-
-
45449124374
-
Stochastic oscillators
-
Markus, L. and Weerasinghe, A. (1988), Stochastic oscillators, J. Differential Equations 71(2), pp288-314.
-
(1988)
J. Differential Equations
, vol.71
, Issue.2
, pp. 288-314
-
-
Markus, L.1
Weerasinghe, A.2
-
112
-
-
0004032216
-
Stochastic Integrals
-
Academic Press
-
McKean, H.P. (1969), Stochastic Integrals, Academic Press.
-
(1969)
-
-
McKean, H.P.1
-
113
-
-
0004166161
-
Stochastic Calculus and Stochastic Models
-
Aceidemic Press
-
Mcshane, E.J. (1974), Stochastic Calculus and Stochastic Models, Aceidemic Press.
-
(1974)
-
-
Mcshane, E.J.1
-
114
-
-
0003680586
-
Semimartingales
-
Wslter de Grujrter
-
Metivier, M. (1982), Semimartingales, Wslter de Grujrter.
-
(1982)
-
-
Metivier, M.1
-
115
-
-
0005583077
-
Martingales and stochastic integrals I
-
Lect. Notes in Math. 284, Springer
-
Meyer, P.A. (1972), Martingales and stochastic integrals I, Lect. Notes in Math. 284, Springer.
-
(1972)
-
-
Meyer, P.A.1
-
116
-
-
0021469304
-
Stochastic hereditary equations: existence and asymptotic stability
-
Mizel, V.J. and Trutzer, V. (1984), Stochastic hereditary equations: existence and asymptotic stability, J. Integral Equations 7, ppl-72.
-
(1984)
J. Integral Equations
, vol.7
-
-
Mizel, V.J.1
Trutzer, V.2
-
117
-
-
0003406272
-
Stochastic Functional Differential Equations
-
Longman Scientific and Technical
-
Mohammed, S-E. A. (1984), Stochastic Functional Differential Equations, Longman Scientific and Technical.
-
(1984)
-
-
Mohammed, S.-E.1
-
118
-
-
0022709527
-
Hyperbohc state space decomposition for a hnear stochastic delay equations
-
Mohammed, S-E. Α., Scheutzow, M. and WeizsaEcher, H. V. (1986), Hyperbohc state space decomposition for a hnear stochastic delay equations, SIAM J. on Control and Optimization 24(3), pp543-551.
-
(1986)
SIAM J. on Control and Optimization
, vol.24
, Issue.3
, pp. 543-551
-
-
Mohammed, S.-E.1
Scheutzow, M.2
WeizsaEcher, H.V.3
-
119
-
-
0003401599
-
Theory of Functions of Real Variables
-
Frederick Unger
-
Natanson, LP. (1964), Theory of Functions of Real Variables, Vol.1, Frederick Unger.
-
(1964)
, pp. 1
-
-
Natanson, L.P.1
-
120
-
-
0003754670
-
An Introduction to the Mathematics of Financial Derivatives
-
Academic Press
-
Neftci, S.N. (1996), An Introduction to the Mathematics of Financial Derivatives, Academic Press.
-
(1996)
-
-
Neftci, S.N.1
-
121
-
-
0003722979
-
Stochastic Differential Equations: An Introduction with Ahcations
-
4th Ed., Springer
-
Oksendal, B. (1995), Stochastic Differential Equations: An Introduction with Apphcations, 4th Ed., Springer.
-
(1995)
-
-
Oksendal, B.1
-
122
-
-
0000543733
-
A multiplicative ergodic theorem: Laypunov characteristic numbers for dynamicid systems
-
Oseledec, V.I. (1968), A multiplicative ergodic theorem: Laypunov characteristic numbers for dynamicid systems. Trans. moscowMath. Soc. 19, ppl97-231.
-
(1968)
Trans. moscowMath. Soc.
, vol.19
-
-
Oseledec, V.I.1
-
123
-
-
0025262967
-
Adapted solution of a backward stochastic differential equation
-
Pardoux, E. and Peng, S.G. (1990), Adapted solution of a backward stochastic differential equation. Systems and Control Letters 14, pp55-61.
-
(1990)
Systems and Control Letters
, vol.14
, pp. 55-61
-
-
Pardoux, E.1
Peng, S.G.2
-
124
-
-
0000268709
-
Backward stochastic differential equations and quasilinear pairabolic partial differential equations
-
Pardoux, E. and Peng, S.G. (1992), Backward stochastic differential equations and quasilinear pairabolic partial differential equations. Lecture Notes in Control and Information Science 176, pp200-217.
-
(1992)
Lecture Notes in Control and Information Science
, vol.176
, pp. 200-217
-
-
Pardoux, E.1
Peng, S.G.2
-
125
-
-
0000438813
-
Lyapunov exponent and rotation number of two-dimensional stochastic systems with small diffusion
-
Pardoux, E. and Wihstutz, V. (1988), Lyapunov exponent and rotation number of two-dimensional stochastic systems with small diffusion, SIAM J. Applied Math. 48, pp442-457.
-
(1988)
SIAM J. Alied Math.
, vol.48
, pp. 442-457
-
-
Pardoux, E.1
Wihstutz, V.2
-
126
-
-
0002011386
-
Lyapunov exponents of nilponent Ito systems
-
Pinsky, M.A. and Wihstutz, V. (1988), Lyapunov exponents of nilponent Ito systems, Stochastics 25, pp43-57.
-
(1988)
Stochastics
, vol.25
, pp. 43-57
-
-
Pinsky, M.A.1
Wihstutz, V.2
-
127
-
-
0016439770
-
On the existence, uniqueness, and stability behavior of a random solution to a nonlinear perturbed stochastic integrodifferential equation
-
Rao, A.N.V. and Tsokos, CP. (1975), On the existence, uniqueness, and stability behavior of a random solution to a nonlinear perturbed stochastic integrodifferential equation, Inform, and Control 27, pp61-74.
-
(1975)
Inform, and Control
, vol.27
, pp. 61-74
-
-
Rao, A.N.V.1
Tsokos, C.P.2
-
128
-
-
0001406741
-
On the stability of systems with a delay
-
Razumikhin, B.S. (1956), On the stability of systems with a delay, Prikl. Mat. Meh. 20, pp500-512.
-
(1956)
Prikl. Mat. Meh.
, vol.20
, pp. 500-512
-
-
Razumikhin, B.S.1
-
129
-
-
0000418046
-
Alication of Lyapunov's method to problems in the stability of systems with a delay
-
Razumikhin, B.S. (1960), Application of Lyapunov's method to problems in the stability of systems with a delay, Automat, i Telemeh. 21, pp740-749.
-
(1960)
Automat, i Telemeh
, vol.21
, pp. 740-749
-
-
Razumikhin, B.S.1
-
130
-
-
0003617670
-
Diffusions, Markov Processes and Martingales
-
John Wiley and Sons
-
Rogers, L.C.G. and Williams, D. (1987), Diffusions, Markov Processes and Martingales, Vol.2, John Wiley and Sons.
-
(1987)
, pp. 2
-
-
Rogers, L.C.G.1
Williams, D.2
-
131
-
-
0003825175
-
Oscillations of quasilinear systems with retardation
-
Nauk, Moscow
-
Rubanik, V.P. (1969), Oscillations of quasilinear systems with retardation, Nauk, Moscow.
-
(1969)
-
-
Rubanik, V.P.1
-
132
-
-
0002677397
-
Rational theory of warrant pricing (with Aendix by H.P. McKean)
-
Samuelson, P.A. (1965), Rational theory of warrant pricing (with Appendix by H.P. McKean), Industrial Management Review 6, 13-31.
-
(1965)
Industrial Management Review
, vol.6
, pp. 13-31
-
-
Samuelson, P.A.1
-
133
-
-
84882691822
-
An introduction to the stochastic mechanics of stationary states with alications, in "From Local Times to Global Geometry, Control and Physics" edited by K. D. Elworthy
-
Truman, A. (1986), An introduction to the stochastic mechanics of stationary states with applications, in "From Local Times to Global Geometry, Control and Physics" edited by K. D. Elworthy, Pitman Research Notes in Math. 150, pp329-344.
-
(1986)
Pitman Research Notes in Math
, vol.150
, pp. 329-344
-
-
Truman, A.1
-
134
-
-
0013541487
-
Random Integral Ekjuations with Alications to Life Sciences and Engineering
-
Academic Press
-
Tsokos, CP. and Padgett, W.J. (1974), Random Integral Ekjuations with Applications to Life Sciences and Engineering, Academic Press.
-
(1974)
-
-
Tsokos, C.P.1
Padgett, W.J.2
-
135
-
-
36149005118
-
On the theory of Brownian motion
-
Uhlenbeck, G.E. and Ornstein, L.S. (1930), On the theory of Brownian motion, Pyys. Rev. 36, pp362-271.
-
(1930)
Pyys. Rev.
, vol.36
, pp. 271-362
-
-
Uhlenbeck, G.E.1
Ornstein, L.S.2
-
136
-
-
0000767629
-
Sur la theorie mathematique des phenomenes hereditaires
-
Volterra, V. (1928), Sur la theorie mathematique des phenomenes hereditaires, J. Math. Pures Appl. 7, pp249-298.
-
(1928)
J. Math. Pures Al.
, vol.7
, pp. 249-298
-
-
Volterra, V.1
-
137
-
-
0003829710
-
Theory of Stochastic Processes
-
China Science Press
-
Wang, Z. K. (1986), Theory of Stochastic Processes, China Science Press.
-
(1986)
-
-
Wang, Z.K.1
-
138
-
-
0008215982
-
On the uniqueness of solutions of stochastic differentieil equations II
-
Watanabe, S. and Yamada, T. (1971), On the uniqueness of solutions of stochastic differentieil equations II, J. Math. Kyoto University 11, pp553-563.
-
(1971)
J. Math. Kyoto University
, vol.11
, pp. 553-563
-
-
Watanabe, S.1
Yamada, T.2
-
139
-
-
84872922777
-
A functional equation in the heuristic theory of primes
-
Wright, E.M. (1961), A functional equation in the heuristic theory of primes. Mathematical Gazette 45, ppl5-16.
-
(1961)
Mathematical Gazette
, vol.45
-
-
Wright, E.M.1
-
140
-
-
0020878540
-
Existence and uniqueness of the solutions of stochastic differential equations
-
Wu, R.Q. and Mao, X. (1983), Existence and uniqueness of the solutions of stochastic differential equations, Stochastics 11, ppl9-32.
-
(1983)
Stochastics
, vol.11
-
-
Wu, R.Q.1
Mao, X.2
-
141
-
-
84882665623
-
On Comparison theorems for a kind of integral equations with respect to semimartingales
-
Wu, R.Q. and Mao, X. (1986), On Comparison theorems for a kind of integral equations with respect to semimartingales, J. Engineering Math. 3(1), ppl-10.
-
(1986)
J. Engineering Math
, vol.3
, Issue.1
-
-
Wu, R.Q.1
Mao, X.2
-
143
-
-
0000313984
-
On the successive aroximation of solutions of stochastic differential equations
-
YamEida, T. (1981), On the successive approximation of solutions of stochastic differential equations, J. Math. Kyoto University 21, pp501-515.
-
(1981)
J. Math. Kyoto University
, vol.21
, pp. 501-515
-
-
YamEida, T.1
-
144
-
-
0000827166
-
On the uniqueness of solutions of stochastic differential equations
-
Yamada, T. and Watanabe, S. (1971), On the uniqueness of solutions of stochastic differential equations, J. Math. Kyoto University 11, ppl55 167.
-
(1971)
J. Math. Kyoto University
, vol.11
, pp. 155-167
-
-
Yamada, T.1
Watanabe, S.2
-
145
-
-
0038734413
-
Introduction to Martingales and Stochastic Integrals
-
Shanghai Science and Technology Press
-
Yan, J.A. (1981), Introduction to Martingales and Stochastic Integrals, Shanghai Science and Technology Press.
-
(1981)
-
-
Yan, J.A.1
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