Existence results on semiinfinite intervals for functional-differential and intergrodifferential inclusions in Banach spaces with nonlocal conditions

• Autorzy: Benchohra M. , Ntouyas S.
• Języki publikacji: EN

Słowa kluczowe

EN

initial-value problems; convex multivalued map; mild solution; fixed points

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 4
• Strony: 795--807
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Benchohra M.

• Department de Mathematiques Universite dee sidi Belabbes BP 89, 22000 Sidi Bel Abbes, Algerie

autor

Ntouyas S.

• Department of Mathematics University of Ioannina 451 10 Ioannina, Greece

Bibliografia

• [1] K. Balachandran, M. Chandrasekaran, Existence of solutions of a delay differential equation with nonlocal condition, Indian J. Pure Appl. Math. 27 (5) (1996), 443-449.
• [2] L. Byszewski, Existence and uniqueness of mild and classical solutions of semilinear functional differential evolution nonlocal Cauchy problem, Selected Problems in Mathematics 6 (1995), 25-33.
• [3] L. Byszewski, Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem, J. Math. Anal. Appl. 162 (1991), 494-505.
• [4] L. Byszewski, H. Akca, On a mild solution of a semilinear functional-differential evolution nonlocal problem, J. Appl. Math. Stochastic Anal. 10 (1997), 265-271.
• [5] J. P. Dauer, K. Balachandran, Existence of solutions for an integrodifferential equation with nonlocal condition in Banach spaces, Libertas Math. 16 (1996), 133-143.
• [6] J. Dugundji, A. Granas, Fixed Point Theory, Monografie Mat., PWN, Warsaw, 1982.
• [7] K. Deimling, Multivalued Differential Equations, Walter de Gruyter, Berlin, 1992.
• [8] Sh. Hu, N. Papageorgiou, Handbook of Multivalued Analysis, Volume I: Theory, Kluwer, Dordrecht, Boston, London, 1997.
• [9] 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.
• [10] Y. Lin, J. H. Liu, Semilinear integrodifferential equations with nonlocal Cauchy problem, Nonlinear Anal. 26 (1996), 1023-1033.
• [11] T. W. Ma, Topological degrees for set-valued compact vector fields in locally convex spaces, Diss. Math. 92 (1972), 1-43.
• [12] S. K. Ntouyas, Global existence results for certain second order delay integrodifferential equations with nonlocal conditions, Dynam. Systems Appl. 7 (1998), 415-426.
• [13] S. K. Ntouyas and P. Ch. Tsamatos, Global existence for semilinear evolution equations with nonlocal conditions, J. Math. Anal. Appl. 210 (1997), 679-687.
• [14] S. K. Ntouyas and P. Ch. Tsamatos, Global existence for second order semilinear ordinary and delay integrodifferential equations with nonlocal conditions, Appl. Anal. 67 (1997), 245-257.
• [15] S. K. Ntouyas and P. Ch. Tsamatos, Global existence for semilinear evolution integrodifferential equations with delay and nonlocal conditions, Appl. Anal. 64 (1997), 99-105.
• [16] K. Yosida, Functional Analysis, 6th edn. Springer, Berlin, 1980.