Second-order neutral stochastic evolution equations with heredity

Journal of Applied Mathematics and Stochastic Analysis

Volumn 2004, Issue 2, 2004, Pages 177-192

  McKibben, Mark A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30444447818     PISSN: 10489533     EISSN: 16872177     Source Type: Journal    
DOI: 10.1155/S1048953304309020     Document Type: Article

References (22)

1. S. Aizicovici Y. Gao Functional-differential equations with nonlocal initial conditions J. Appl. Math. Stochastic Anal. 1997 10 2 145-156
2. S. Aizicovici M. McKibben Existence results for a class of abstract nonlocal Cauchy problems Nonlinear Anal. Ser. A: Theory Methods 2000 39 5 649-668
3. A. T. Bharucha-Reid Random Integral Equations Academic Press New York 1972
4. J. Bochenek An abstract nonlinear second order differential equation Ann. Polon. Math. 1991 54 2 155-166
5. L. Breiman Probability Society for Industrial and Applied Mathematics (SIAM) Pennsylvania 1992 7 Classics in Applied Mathematics
6. L. Byszewski Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem J. Math. Anal. Appl. 1991 162 2 494-505
7. G. Da Prato J. Zabczyk Stochastic Equations in Infinite Dimensions Cambridge University Press Cambridge 1992 44 Encyclopedia of Mathematics and Its Applications
8. N. Dunford J. T. Schwartz Linear Operators. I. General Theory Interscience Publishers New York 1958 7 Pure and Applied Mathematics
9. Y. El Boukfaoui M. Erraoui Remarks on the existence and approximation for semilinear stochastic differential equations in Hilbert spaces Stochastic Anal. Appl. 2002 20 3 495-518
10. H. O. Fattorini Second Order Linear Differential Equations in Banach Spaces North-Holland Publishing Amsterdam 1985 108 North-Holland Mathematics Studies
11. T. E. Govindan Autonomous semilinear stochastic Volterra integro-differential equations in Hilbert spaces Dynam. Systems Appl. 1994 3 1 51-74
12. T. E. Govindan An existence result for the Cauchy problem for stochastic systems with heredity Differential Integral Equations 2002 15 1 103-113
13. W. Grecksch C. Tudor Stochastic Evolution Equations. A Hilbert Space Approach Akademie-Verlag Berlin 1995 85 Mathematical Research
14. A. Ichikawa Stability of semilinear stochastic evolution equations J. Math. Anal. Appl. 1982 90 1 12-44
15. M. A. McKibben Second-order damped functional stochastic evolution equations in Hilbert space Dynam. Systems Appl. 2003 12 3-4 467-487
16. B. G. Pachpatte Inequalities for Differential and Integral Equations Academic Press California 1998 197 Mathematics in Science and Engineering
17. A. Pazy Semigroups of Linear Operators and Applications to Partial Differential Equations Springer-Verlag New York 1983 44 Applied Mathematical Sciences
18. A. E. Rodkina On existence and uniqueness of solution of stochastic differential equations with heredity Stochastics 1984 12 3-4 187-200
19. K. Sobczyk Stochastic Differential Equations with Applications to Physics and Engineering Kluwer Academic Publishers Dordrecht 1991 40 Mathematics and Its Applications (East European Series)
20. T. Taniguchi Almost sure exponential stability for stochastic partial functional-differential equations Stochastic Anal. Appl. 1998 16 5 965-975
21. C. C. Travis G. F. Webb Cosine families and abstract nonlinear second order differential equations Acta Math. Acad. Sci. Hungar. 1978 32 1-2 75-96
22. J. Wu Theory and Applications of Partial Functional-Differential Equations Springer-Verlag New York 1996 119 Applied Mathematical Sciences