Neutral functional differential and integrodifferential inclusions in Banach spaces
Benchohra, M. ; Ntouyas, S. K.
Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001), p. 767-782 / Harvested from Biblioteca Digitale Italiana di Matematica

In questo lavoro studiamo l'esistenza di soluzioni deboli su un intervallo compatto di problemi con valore iniziale per inclusioni funzionali neutre differenziali e integrodifferenziali in spazi di Banach. I risultati sono ottenuti usando un teorema di punto fisso per mappe condensanti dovuto a Martelli.

Publié le : 2001-10-01
@article{BUMI_2001_8_4B_3_767_0,
     author = {M. Benchohra and S. K. Ntouyas},
     title = {Neutral functional differential and integrodifferential inclusions in Banach spaces},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {4-A},
     year = {2001},
     pages = {767-782},
     zbl = {1177.34100},
     mrnumber = {1859996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2001_8_4B_3_767_0}
}
Benchohra, M.; Ntouyas, S. K. Neutral functional differential and integrodifferential inclusions in Banach spaces. Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001) pp. 767-782. http://gdmltest.u-ga.fr/item/BUMI_2001_8_4B_3_767_0/

[1] Banas, J.-Goebel, K., Measures of Noncompactness in Banach Spaces, Marcel-Dekker, New York, 1980. | MR 591679 | Zbl 0441.47056

[2] Deimling, K., Multivalued Differential Equations, Walter de Gruyter, Berlin-New York, 1992. | MR 1189795 | Zbl 0760.34002

[3] Erbe, L.-Kong, Q.-Zhang, B., Oscillation Theory for Functional Differential Equations, Pure and Applied Mathematics, 1994. | MR 1309905 | Zbl 0821.34067

[4] Hale, J., Theory of Functional Differential Equations, Springer, New York, 1977. | MR 508721 | Zbl 0352.34001

[5] Henderson, J., Boundary Value Problems for Functional Differential Equations, World Scientific, 1995. | MR 1375459

[6] Hernandez, E.-Henriquez, H. R., Existence results for partial neutral functional differential equations with unbounded delay, J. Math. Anal. Appl.221 (1998), 452-475. | MR 1621730 | Zbl 0915.35110

[7] Hernandez, E.-Henriquez, H. R., Existence of periodic solutions of partial neutral functional differential equations with unbounded delay, J. Math. Anal. Appl., 221 (1998), 499-522. | MR 1621738 | Zbl 0926.35151

[8] Hu, S.-Papageorgiou, N., Handbook of Multivalued Analysis, Volume I: Theory, Kluwer, Dordrecht, Boston, London, 1997. | MR 1485775 | Zbl 0887.47001

[9] Lazota, A.-Opial, Z., 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. | MR 196178 | Zbl 0151.10703

[10] Martelli, M., A Rothe's type theorem for non-compact acyclic-valued map, Boll. Un. Mat. Ital., 4 (1975), 70-76. | MR 394752 | Zbl 0314.47035

[11] Ntouyas, S., Global existence for neutral functional integrodifferential equations, Nonlinear Anal., 30 (1997), 2133-2142. | MR 1490335 | Zbl 0890.45004

[12] Ntouyas, S., Initial and boundary value problems for functional differential equations via the topological transversality method: A survey, Bull. Greek Math. Soc., 40 (1998), 3-41. | MR 1671786 | Zbl 0919.34059

[13] Ntouyas, S.-Sficas, Y.-Tsamatos, P., Existence results for initial value problems for neutral functional differential equations, J. Differential Equations, 114 (1994), 527-537. | MR 1303038 | Zbl 0810.34061

[14] Papageorgiou, N., Boundary value problems for evolution inclusions, Comment. Math. Univ. Carol., 29 (1988), 355-363. | MR 957404 | Zbl 0696.35074

[15] Pazy, A., Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983. | MR 710486 | Zbl 0516.47023

[16] Yosida, K., Functional Analysis, 6th edn, Springer-Verlag, Berlin, 1980. | MR 617913