On approximate solution of stochastic delay evolution equation in infinite dimensions

Numerical Functional Analysis and Optimization

Volumn 19, Issue 1-2, 1998, Pages 81-90

  Liu, Kai ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; RANDOM PROCESSES;

CARATHEODORY APPROXIMATION; INFINITE DIMENSIONS; STOCHASTIC DELAY EVOLUTION EQUATION;

DIFFERENTIAL EQUATIONS;

EID: 0032002287     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569808816816     Document Type: Article

References (10)

1. Bell and Mohammed. On the solution of stochastic ordinary differential equations via small delays. Stochastics. 29, 293-299, (1989).
2. G. Da Prato and J. Zabczyk. Stochastic equations in infinite dimensions. Cambridge Univ. Press, (1992).
3. Ikeda, N and Watanabe, S. Stochastic differential equations and diffusion processes. North-Holland and Kodansha, Tokyo, (1981).
4. Kaneko, T and Nakao, S. A note on approximation for stochastic differential equations. Séminaire de Probabilités 22, Lect. Notes. Math. 1321. 155-162, (1988).
5. Mao, X. Approximate solutions for stochastic differential equations with pathwise uniqueness . Stock. Anal. Appl. 12(3), 355-367, (1994).
6. Mao, X. Approximate solutions for a class of stochastic evolution equations with variable delays . Numer. Funct. Anal. and Optimiz. 15, 65-76, (1991).
7. Mao, X. Approximate solutions for a class of stochastic evolution equations with variable delays. (2), Numer. Funct. Anal. and Optimiz. 12, 525-533, (1994).
8. Mao, X. Stability of stochastic differential equation with respect to semimartingales. Pitman Research Notes in Maths, Series, 251, Longman Scientific and Technical, (1991).
9. Skorohod, A, V. Studies in the theory of random processes. Addison-Wesley, (1965).
10. Yamada, T. and S, Watanabe. On the uniqueness of solutions of stochastic differential equations. J. Math. Kyoto Univ. 11, 155-167, (1971).