Existence of solutions of semilinear stochastic delay evolution inclusions in a Hilbert space

Journal of Mathematical Analysis and Applications

Volumn 305, Issue 2, 2005, Pages 438-451

  Balasubramaniam, P ^a   Ntouyas, S K ^b   Vinayagam, D ^a  

^a GANDHIGRAM RURAL UNIVERSITY   (India)

^b UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Existence; Fixed point; Hilbert space; Multivalued map; Semilinear stochastic evolution inclusions

Indexed keywords

EID: 15844410524     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.10.063     Document Type: Article

References (16)

1. N.U. Ahmed Nonlinear stochastic differential inclusions on Banach space Stochastic Anal. Appl. 12 1994 1-10
2. N.U. Ahmed Existence of solutions of nonlinear stochastic differential inclusions on Banach space In: V. Lakshmikantham (Eds.) Proceedings of the First World Congress of Nonlinear Analysis, Tampa, FL, August 19-26, 1992 1996 de Gruyter Berlin 1699-1712
3. J.P. Aubin A. Cellina Differential Inclusions 1984 Springer-Verlag Berlin
4. P. Balasubramaniam Existence of solutions of functional stochastic differential inclusions Tamkang J. Math. 33 2002 35-43
5. J. Banas K. Goebel Measures of Noncompactness in Banach Spaces 1980 Dekker New York
6. H.F. Bohnenblust S. Karlin On the theorem of Ville In: H.W. Kuhn A.W. Tucker (Eds.) Contributions to the Theory of Games: I 1950 Princeton Univ. Press Princeton, NJ 155-160
7. T. Caraballo K. Liu Exponential stability of mild solutions of stochastic partial differential equations with delays Stochastic Anal. Appl. 17 1999 743-763
8. K. Deimling Nonlinear Functional Analysis 1985 Springer-Verlag New York
9. K. Deimling Multivalued Differential Equations 1982 de Gruyter New York
10. n Proc. Amer. Math. Soc. 123 1995 3043-3050
11. S. Hu N. Papageorgiou Handbook of Multivalued Analysis, vol. I, Theory 1997 Kluwer Academic Dordrecht
12. P. Kree Diffusion equation for multivalued stochastic differential equations J. Funct. Anal. 49 1982 73-90
13. A. Lasota Z. Opial An application of the Kakutani-Ky-Fan theorem in the theory of ordinary differential equations Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 13 1965 781-786
14. M. Martelli A Rothe's type theorem for non-compact acyclic-valued map Boll. Un. Mat. Ital. (4) 11 1975 70-76
15. R. Pettersson Yosida approximations for multivalued stochastic differential equations Stochastics Stochastics Rep. 52 1995 107-120
16. R. Pettersson Existence theorem and Wong-Zakai approximations for multivalued stochastic differential equations Probab. Math. Statist. 17 1997 29-45