Initial and boundary value problems for nonconvex valued multivalued functional differential equations

Journal of Applied Mathematics and Stochastic Analysis

Volumn 16, Issue 2, 2003, Pages 191-200

  Benchohra, M ^a   Ntouyas, S K ^b  

^a UNIVERSITY OF SIDI BEL ABBES   (Algeria)

^b UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Contraction Multivalued Map; Decomposable Valued Map; Existence; Fixed Point; Functional Differential Inclusions; Lower Semicontinuous Multivalued Map; Selection

Indexed keywords

EID: 33745367032     PISSN: 10489533     EISSN: 16872177     Source Type: Journal    
DOI: 10.1155/S1048953303000145     Document Type: Article

References (11)

1. Benchohra, M. and Ntouyas, S.K., Existence results for functional differential inclusions, Electron. J. Differential Equations 41 (2001), 1-8.
2. Benchohra, M. and Ntouyas, S.K., Existence results for second order functional differential and integrodifferential inclusions in Banach spaces, Tamkang J. Math. 32:4 (2001), 315-325.
3. Bressan, A. and Colombo, G., Extensions and selections of maps with decomposable values, Studia Math. 90 (1988), 69-86.
4. Castaing, C. and Valadier, M., Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics 580, Springer-Verlag, New York 1977.
5. Covitz, H. and Nadler, Jr., S.B., Multivalued contraction mappings in generalized metric spaces, Israel J. Math. 8 (1970), 5-11.
6. Deimling, K., Multivalued Differential Equations, Walter de Gruyter, New York 1992.
7. Frigon, M. and Granas, A., Théorèmes d'existence pour des inclusions différentielles sans convexité, C. R. Acad. Sci. Paris, Ser. I 310 (1990), 819-822.
8. Gorniewicz, L., Topological Fixed Point Theory of Multivalued Mappings, Mathematics and Its Applications 495, Kluwer Academic Publishers, Dordrecht 1999.
9. Hu, S. and Papageorgiou, N., Handbook of Multivalued Analysis, Volume I: Theory, Kluwer Academic Publishers, Dordrecht 1997.
10. Smart, D.R., Fixed Point Theorems, Cambridge Univ. Press, Cambridge 1974.
11. Tolstonogov, A.A., Differential Inclusions in a Banach Space, Kluwer Academic Publishers, Dordrecht 2000.