Controllability results for nondensely defined evolution differential inclusions with nonlocal conditions

Journal of Mathematical Analysis and Applications

Volumn 297, Issue 1, 2004, Pages 194-211

  Gatsori, E P ^a  

^a UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Controllability; Fixed point; Nondensely defined; Nonlocal conditions

Indexed keywords

EID: 4344574906     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.04.055     Document Type: Article

References (21)

1. Arendt W. Vector valued Laplace transforms and Cauchy problems Israel J. Math. 59 1987
2. Aubin J.P. Cellina A. Differential Inclusions Springer-Valued Analysis 1984 Birkhäuser New York
3. Benchohra M. Gatsori E. Henderson J. Ntouyas S.K. Nondensely defined evolution impulsive differential inclusions with nonlocal conditions J. Math. Anal. Appl. 286 2003 307-325
4. Benchohra M. Ntouyas S.K. Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces J. Math. Anal. Appl. 258 2001 573-590
5. Benchohra M. Ntouyas S.K. Existence of mild solutions for certain delay semilinear evolution inclusions with nonlocal condition Dynam. Systems Appl. 9 2000 405-412
6. Benchohra M. Ntouyas S.K. Controllability of nonlinear integrodifferential inclusions in Banach spaces with nonlocal conditions Fasc. Math. 31 2001 5-22
7. Benchohra M. Ntouyas S.K. Controllability of nonlinear differential equations in Banach spaces with nonlocal conditions J. Optim. Theory Appl. 110 2001 315-324
8. Benchohra M. Ntouyas S.K. Existence and controllability results for nonlinear differential inclusions with nonlocal conditions J. Appl. Anal. 8 2002 33-48
9. Bohnenblust H.F. Karlin S. On a theorem of Ville. Contributions to the theory of games Annals of Mathematics Studies vol. 24 1950 155-160 Princeton Univ. Press Princeton, NJ
10. Bressan A. Colombo G. Extensions and selections of maps with decomposable values Studia Math. 90 1988 69-86
11. Byszewski L. Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem J. Math. Anal. Appl. 162 1991 494-505
12. Da Prato G. Sinestrari E. Differential operators with non-dense domains Ann. Scuola Norm. Sup. Pisa Sci. 14 1987 285-344
13. Deimling K. Multivalued Differential Equations 1992 de Gruyter Berlin
14. Deng K. Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions J. Math. Annal. Appl. 179 1993 630-637
15. Frigon M. Granas A. Théorèmes d'existence pour des inclusions différentielles sans convexité C. R. Acad. Sci. Paris Ser. I 310 1990 819-822
16. Górniewicz L. Topological Fixed Point Theory of Multivalued Mappings Mathematics and Its Applications vol. 495 1999 Kluwer Academic Dordrecht
17. Hu Sh. Papageorgiou N. Handbook of Multivalued Analysis, vol. I: Theory 1997 Kluwer Academic Dordrecht
18. Kellerman H. Hieber M. Integrated semigroups J. Funct. Anal. 84 1989 160-180
19. Lasota A. Opial Z. An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phys. 13 1965 781-786
20. Smart D.R. Fixed Point Theorems 1974 Cambridge Univ. Press Cambridge
21. Zeidler E. Nonlinear Functional Analysis and Applications, Fixed Point Theorems 1986 Springer-Verlag New York