Benchohra, M. and Ntouyas, S. K.: 
Neutral functional differential and integrodifferential inclusions in Banach spaces
 Bollettino dell'Unione Matematica Italiana Serie 8 4-B (2001), fasc. n.3, p. 767-782, Unione Matematica Italiana (English)
pdf (441 Kb), djvu (172 Kb).  | MR1859996  | Zbl 1177.34100  
Sunto
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.
Referenze Bibliografiche
[1] 
J. BANAS-
K. GOEBEL, 
Measures of Noncompactness in Banach Spaces, 
Marcel-Dekker, New York, 
1980. | 
MR 591679 | 
Zbl 0441.47056[2] 
K. DEIMLING, 
Multivalued Differential Equations, 
Walter de Gruyter, Berlin-New York, 
1992. | 
MR 1189795 | 
Zbl 0760.34002[3] 
L. ERBE-
Q. KONG-
B. ZHANG, 
Oscillation Theory for Functional Differential Equations, 
Pure and Applied Mathematics, 
1994. | 
MR 1309905 | 
Zbl 0821.34067[5] 
J. HENDERSON, 
Boundary Value Problems for Functional Differential Equations, 
World Scientific, 
1995. | 
MR 1375459[6] 
E. HERNANDEZ-
H. R. HENRIQUEZ, 
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] 
E. HERNANDEZ-
H. R. HENRIQUEZ, 
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] 
S. HU-
N. PAPAGEORGIOU, 
Handbook of Multivalued Analysis, Volume I: Theory, 
Kluwer, Dordrecht, Boston, London, 
1997. | 
MR 1485775 | 
Zbl 0887.47001[9] 
A. LAZOTA-
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. | 
MR 196178 | 
Zbl 0151.10703[10] 
M. MARTELLI, 
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] 
S. NTOUYAS, 
Global existence for neutral functional integrodifferential equations, 
Nonlinear Anal., 
30 (
1997), 2133-2142. | 
MR 1490335 | 
Zbl 0890.45004[12] 
S. NTOUYAS, 
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] 
S. NTOUYAS-
Y. SFICAS-
P. TSAMATOS, 
Existence results for initial value problems for neutral functional differential equations, 
J. Differential Equations, 
114 (
1994), 527-537. | 
MR 1303038 | 
Zbl 0810.34061[15] 
A. PAZY, 
Semigroups of Linear Operators and Applications to Partial Differential Equations, 
Springer-Verlag, New York, 
1983. | 
MR 710486 | 
Zbl 0516.47023[16] 
K. YOSIDA, 
Functional Analysis, 6th edn, 
Springer-Verlag, Berlin, 
1980. | 
MR 617913