-
1
-
-
0007145654
-
Sulle equazioni integrali
-
G. ANDREOLI, Sulle equazioni integrali, Rend. Circ. Mat. Palermo, 37 (1914), pp. 76-112.
-
(1914)
Rend. Circ. Mat. Palermo
, vol.37
, pp. 76-112
-
-
ANDREOLI, G.1
-
2
-
-
25044478087
-
Sur une équation différentielle fonctionnelle analytique
-
J. BÉLAIR, Sur une équation différentielle fonctionnelle analytique, Canad. Math. Bull., 24 (1981), pp. 43-46.
-
(1981)
Canad. Math. Bull
, vol.24
, pp. 43-46
-
-
BÉLAIR, J.1
-
3
-
-
0021449148
-
One-step collocation for delay differential equations
-
A. BELLEN, One-step collocation for delay differential equations, J. Comput. Appl. Math., 10 (1984), pp. 275-283.
-
(1984)
J. Comput. Appl. Math
, vol.10
, pp. 275-283
-
-
BELLEN, A.1
-
4
-
-
0036031976
-
Preservation of superconvergence in the numerical integration of delay differential equations with proportional delay
-
A. BELLEN, Preservation of superconvergence in the numerical integration of delay differential equations with proportional delay, IMA J. Numer. Anal., 22 (2002), pp. 529-536.
-
(2002)
IMA J. Numer. Anal
, vol.22
, pp. 529-536
-
-
BELLEN, A.1
-
5
-
-
33745322100
-
Superconvergence in collocation methods on quasi-graded meshes for functional differential equations with vanishing delays
-
A. BELLEN, H. BRUNNER, S. MASET, AND L. TORELLI, Superconvergence in collocation methods on quasi-graded meshes for functional differential equations with vanishing delays, BIT, 46 (2006), pp. 229-247.
-
(2006)
BIT
, vol.46
, pp. 229-247
-
-
BELLEN, A.1
BRUNNER, H.2
MASET, S.3
TORELLI, L.4
-
6
-
-
0031211264
-
Asymptotic stability properties of 9-methods for the pantograph equation
-
A. BELLEN, N. GUGLIELMI, AND L. TORELLI, Asymptotic stability properties of 9-methods for the pantograph equation, Appl. Numer. Math., 24 (1997), pp. 275-293.
-
(1997)
Appl. Numer. Math
, vol.24
, pp. 275-293
-
-
BELLEN, A.1
GUGLIELMI, N.2
TORELLI, L.3
-
8
-
-
0005566582
-
The numerical solution of neutral Volterra integro-differential equations with delay arguments
-
H. BRUNNER, The numerical solution of neutral Volterra integro-differential equations with delay arguments, Ann. Numer. Math., 1 (1994), pp. 309-322.
-
(1994)
Ann. Numer. Math
, vol.1
, pp. 309-322
-
-
BRUNNER, H.1
-
9
-
-
0002039485
-
On the discretization of differential and Volterra integral equations with variable delay
-
H. BRUNNER, On the discretization of differential and Volterra integral equations with variable delay, BIT, 37 (1997), pp. 1-12.
-
(1997)
BIT
, vol.37
, pp. 1-12
-
-
BRUNNER, H.1
-
10
-
-
46949089468
-
-
H. BRUNNER, The discretization of Volterra functional integral equations with proportional delays, in Difference and Differential Equations (Changsha, 2002), S. Elaydi, G. Ladas, J. Wu, and X. Zou, eds., Fields Inst. Commun. 42, AMS, Providence, RI, 2004, pp. 3-27.
-
H. BRUNNER, The discretization of Volterra functional integral equations with proportional delays, in Difference and Differential Equations (Changsha, 2002), S. Elaydi, G. Ladas, J. Wu, and X. Zou, eds., Fields Inst. Commun. 42, AMS, Providence, RI, 2004, pp. 3-27.
-
-
-
-
11
-
-
2942644332
-
The numerical analysis of junctional integral and integro-differential equations of Volterra type
-
H. BRUNNER, The numerical analysis of junctional integral and integro-differential equations of Volterra type, Acta Numer., 13 (2004), pp. 55-145.
-
(2004)
Acta Numer
, vol.13
, pp. 55-145
-
-
BRUNNER, H.1
-
13
-
-
33646380053
-
Optimal superconvergence orders of iterated collocation solutions for Volterra integral equations with vanishing delays
-
H. BRUNNER AND Q.-Y. HU, Optimal superconvergence orders of iterated collocation solutions for Volterra integral equations with vanishing delays, SIAM J. Numer. Anal., 43 (2005), pp. 1934-1949.
-
(2005)
SIAM J. Numer. Anal
, vol.43
, pp. 1934-1949
-
-
BRUNNER, H.1
HU, Q.-Y.2
-
14
-
-
0035541115
-
Geometric meshes in collocation methods for Volterra integral equations with proportional delays
-
H. BRUNNER, Q.-Y. HU, AND Q. LIN, Geometric meshes in collocation methods for Volterra integral equations with proportional delays, IMA J. Numer. Anal., 21 (2001), pp. 783-798.
-
(2001)
IMA J. Numer. Anal
, vol.21
, pp. 783-798
-
-
BRUNNER, H.1
HU, Q.-Y.2
LIN, Q.3
-
15
-
-
46949089779
-
-
preprint, Department of Mathematics and Computer Science, University of Trieste, Trieste, Italy
-
H. BRUNNER AND S. MASET, Time Transformations for Delay Differential Equations, preprint, Department of Mathematics and Computer Science, University of Trieste, Trieste, Italy, 2006.
-
(2006)
Time Transformations for Delay Differential Equations
-
-
BRUNNER, H.1
MASET, S.2
-
16
-
-
0040132997
-
Runge-Kutta methods for neutral differential equations
-
P. Agarwal, ed, World Scientific, River Edge, NJ
-
M. BUHMANN, A. ISERLES, AND S. P. NØ RSETT, Runge-Kutta methods for neutral differential equations, in Contributions in Numerical Mathematics (Singapore, 1993), R. P. Agarwal, ed., World Scientific, River Edge, NJ, 1993, pp. 85-98.
-
(1993)
Contributions in Numerical Mathematics (Singapore, 1993), R
, pp. 85-98
-
-
BUHMANN, M.1
ISERLES, A.2
NØ RSETT, S.P.3
-
17
-
-
0007126845
-
0λx g(x, y, φ(y))dy
-
0λx g(x, y, φ(y))dy, Internat. J. Math. Math. Sci., 14 (1990), pp. 27-44.
-
(1990)
Internat. J. Math. Math. Sci
, vol.14
, pp. 27-44
-
-
CHAMBERS, L.G.1
-
18
-
-
0001424019
-
On a functional differential equation
-
L. FOX, D. F. MAYERS, J. R. OCKENDON, AND A. B. TAYLER, On a functional differential equation, J. Inst. Math. Appl., 8 (1971), pp. 271-307.
-
(1971)
J. Inst. Math. Appl
, vol.8
, pp. 271-307
-
-
FOX, L.1
MAYERS, D.F.2
OCKENDON, J.R.3
TAYLER, A.B.4
-
19
-
-
30344459133
-
Short proofs and a counterexample for analytical and numerical stability oj delay equations with infinite memory
-
N. GUGLIELMI, Short proofs and a counterexample for analytical and numerical stability oj delay equations with infinite memory, IMA J. Numer. Anal., 26 (2006), pp. 60-77.
-
(2006)
IMA J. Numer. Anal
, vol.26
, pp. 60-77
-
-
GUGLIELMI, N.1
-
20
-
-
0038166019
-
Stability of one-leg ⊖-methods for the variable cfficient pantograph equation on the quasi-geometric mesh
-
N. GUGLIELMI AND M. ZENNARO, Stability of one-leg ⊖-methods for the variable cfficient pantograph equation on the quasi-geometric mesh, IMA J. Numer. Anal., 23 (2003), pp. 421-438.
-
(2003)
IMA J. Numer. Anal
, vol.23
, pp. 421-438
-
-
GUGLIELMI, N.1
ZENNARO, M.2
-
21
-
-
0039491179
-
Geometric meshes and their application to Volterra integro-differential equations with singularities
-
Q.-Y. HU, Geometric meshes and their application to Volterra integro-differential equations with singularities, IMA J. Numer. Anal., 18 (1998), pp. 151-164.
-
(1998)
IMA J. Numer. Anal
, vol.18
, pp. 151-164
-
-
HU, Q.-Y.1
-
22
-
-
27744546644
-
Discretized stability and error growth of the nonautonomous pantograph equation
-
C. HUANG AND S. VANDEWALLE, Discretized stability and error growth of the nonautonomous pantograph equation, SIAM J. Numer. Anal., 42 (2005), pp. 2020-2042.
-
(2005)
SIAM J. Numer. Anal
, vol.42
, pp. 2020-2042
-
-
HUANG, C.1
VANDEWALLE, S.2
-
23
-
-
52649085452
-
On the generalized pantograph junctional differential equation
-
A. ISERLES, On the generalized pantograph junctional differential equation, European J. Appl. Math., 4 (1993), pp. 1-38.
-
(1993)
European J. Appl. Math
, vol.4
, pp. 1-38
-
-
ISERLES, A.1
-
24
-
-
0242709242
-
Numerical analysis of delay differential equations with variable delays
-
A. ISERLES, Numerical analysis of delay differential equations with variable delays, Ann. Numer. Math., 1 (1994), pp. 133-152.
-
(1994)
Ann. Numer. Math
, vol.1
, pp. 133-152
-
-
ISERLES, A.1
-
25
-
-
84893735286
-
On pantograph integro-differential equations
-
A. ISERLES AND Y. LIU, On pantograph integro-differential equations, J. Integral Equations Appl., 6 (1994), pp. 213-237.
-
(1994)
J. Integral Equations Appl
, vol.6
, pp. 213-237
-
-
ISERLES, A.1
LIU, Y.2
-
26
-
-
0031081849
-
On neutral functional-differential equations with proportional delays
-
A. ISERLES AND Y. LIU, On neutral functional-differential equations with proportional delays, J. Math. Anal. Appl., 207 (1997), pp. 73-95.
-
(1997)
J. Math. Anal. Appl
, vol.207
, pp. 73-95
-
-
ISERLES, A.1
LIU, Y.2
-
27
-
-
0009028686
-
Stability and asymptotic stability of functional-differential equations
-
A. ISERLES AND J. TERJÉKI, Stability and asymptotic stability of functional-differential equations, J. London Math. Soe. Ser. II, 51 (1995), pp. 559-572.
-
(1995)
J. London Math. Soe. Ser. II
, vol.51
, pp. 559-572
-
-
ISERLES, A.1
TERJÉKI, J.2
-
28
-
-
0000826399
-
On the attainable order of collocation methods for the neutral junctional-differential equations with proportional delays
-
E. ISHIWATA, On the attainable order of collocation methods for the neutral junctional-differential equations with proportional delays, Computing, 64 (2000), pp. 207-222.
-
(2000)
Computing
, vol.64
, pp. 207-222
-
-
ISHIWATA, E.1
-
29
-
-
84966219417
-
The junctional- differential equation y′(x) = ay(λx) + by(x)
-
T. KATO AND J. B. MCLEOD, The junctional- differential equation y′(x) = ay(λx) + by(x), Bull. Amer. Math. Soc, 77 (1971), pp. 891-937.
-
(1971)
Bull. Amer. Math. Soc
, vol.77
, pp. 891-937
-
-
KATO, T.1
MCLEOD, J.B.2
-
30
-
-
21844488753
-
Stability analysis of θ-methods for neutral functional-differential equations
-
Y. LIU, Stability analysis of θ-methods for neutral functional-differential equations, Numer. Math., 70 (1995), pp. 473-485.
-
(1995)
Numer. Math
, vol.70
, pp. 473-485
-
-
LIU, Y.1
-
31
-
-
0030194116
-
On θ-methods for delay differential equations with infinite lag
-
Y. LIU, On θ-methods for delay differential equations with infinite lag, J. Comput. Appl. Math., 71 (1996), pp. 177-190.
-
(1996)
J. Comput. Appl. Math
, vol.71
, pp. 177-190
-
-
LIU, Y.1
-
32
-
-
0037336074
-
On the attainable order of collocation methods for pantograph integro-differential equations
-
Y. MUROYA, E. ISHIWATA, AND H. BRUNNER, On the attainable order of collocation methods for pantograph integro-differential equations, J. Comput. Appl. Math., 152 (2003), pp. 347-366.
-
(2003)
J. Comput. Appl. Math
, vol.152
, pp. 347-366
-
-
MUROYA, Y.1
ISHIWATA, E.2
BRUNNER, H.3
-
33
-
-
0000361452
-
On the attainable order of collocation methods for the delay differential equations with proportional delay
-
N. TAKAMA, Y. MUROYA, AND E. ISHIWATA, On the attainable order of collocation methods for the delay differential equations with proportional delay, BIT, 40 (2000), pp. 374-394.
-
(2000)
BIT
, vol.40
, pp. 374-394
-
-
TAKAMA, N.1
MUROYA, Y.2
ISHIWATA, E.3
-
34
-
-
2942672930
-
Collocation approximations for second-order differential equations and Volterra integro-differential equations with variable delays
-
W. ZHANG AND H. BRUNNER, Collocation approximations for second-order differential equations and Volterra integro-differential equations with variable delays, Canad. Appl. Math. Quart., 6 (1998), pp. 269-285.
-
(1998)
Canad. Appl. Math. Quart
, vol.6
, pp. 269-285
-
-
ZHANG, W.1
BRUNNER, H.2
-
35
-
-
46949088077
-
The attainable order of a collocation method for a double-pantograph delay differential equation
-
in Chinese
-
J. ZHAO, Y. XU. AND Y. QIAO, The attainable order of a collocation method for a double-pantograph delay differential equation, Numer. Math. J. Chinese Univ., 27 (2005), pp. 297-308 (in Chinese).
-
(2005)
Numer. Math. J. Chinese Univ
, vol.27
, pp. 297-308
-
-
ZHAO, J.1
XU, Y.2
QIAO, Y.3
|