Results for nonlinear differential inclusions with nonlocal conditions in banach spaces

Journal of Applied Analysis

Volumn 8, Issue 1, 2002, Pages 33-48

  Benchohra, M ^a   Ntouyas, S K ^b  

^a UNIVERSITY OF SIDI BEL ABBES   (Algeria)

^b UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Controllability; Convex multivalued map; Evolution inclusion; Fixed point; Mild solution; Nonlocal condition

Indexed keywords

EID: 84867934770     PISSN: 14256908     EISSN: 18696082     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Anguraj, A., Balachandran, K., Existence of solutions of nonlinear differential inclusions, Mem. Fac. Sci. Kochi Univ. Ser. A Math. 13 (1992), 61-66.
2. Balachandran, K., Balasubramaniam, P., Dauer, J. P., Controllability of nonlinear integrodifferential systems in Banach space, J. Optim. Theory Appl. 84 (1995), 83-91.
3. Balachandran, K., Ilamaran, S., Existence and uniqueness of mild and strong solutions of a semilinear evolution equation with nonlocal condition, Indian J. Pure Appl. Math. 25(4) (1994), 411-418.
4. Balachandran, K., Chandrasekaran, M., Existence of solutions of a delay differential equation with nonlocal condition, Indian J. Pure Appl. Math. 27(5) (1996), 443-449. (Pubitemid 126309969)
5. Banaś, J., Goebel, K., Measures of Noncompactness in Banach Spaces, Marcel-Dekker, New York, 1980.
6. 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.
7. Byszewski, L., Existence and uniqueness of mild and classical solutions of semilinear functional differential evolution nonlocal Cauchy problem, Sel. Problems Math., Cracow University of Technology, Anniversary Issue 6 (1995), 25-33.
8. Darbo, G., Punti uniti in trasformazioni a codominio non-compacto Rend. Sem. Mat. Univ. Padova 24 (1955), 353-367.
9. Deimling, K., Multivalued Differential Equations, Walter de Gruyter, Berlin-New York, 1992.
10. Hale, J. K., Ordinary Differential Equations, Interscience, New York, 1969.
11. Han, H. K., Park, J. Y., Boundary controllability of differential equations with nonlocal condition, em J. Math. Anal. Appl. 230 (1999), 241-250.
12. Hu, S., Papageorgiou, N., Handbook of Multivalued Analysis, Volume I: Theory, Kluwer, Dordrecht, Boston, London, 1997.
13. Lasota, A., Opial, Z., An application of the Kakutani-Ky-Fan theorem in the theory of ordinary differential equations, Bull. Polish Acad. Sci. Ser. Sci. Math. Astronom. Phys. 13 (1965), 781-786.
14. Marino, G., Nonlinear boundary value problems for multivalued differential equations in Banach spaces, Nonlinear Anal. 14(1990), 545-558
15. Martelli, M., A Rothe's type theorem for non-compact acyclic-valued map, Boll. Un. Mat. Ital. 11 (1975), 70-76.
16. Ntouyas, S. K., Tsamatos, P. Ch., Global existence for semilinear evolution equations with nonlocal conditions, J. Math. Anal. Appl. 210 (1997), 679-687. (Pubitemid 127165334)
17. Yosida, K., Functional Analysis, 6th ed., Springer-Verlag, Berlin, 1980.