@article{MASLO_2001_51_5_a3,
author = {Benchohra, Mouffak and Ntouyas, Sotiris K.},
title = {Nonlocal {Cauchy} problems on semi-infinite intervals for neutral functional-differential and integrodifferential inclusions in {Banach} spaces},
journal = {Mathematica slovaca},
pages = {529--545},
year = {2001},
volume = {51},
number = {5},
mrnumber = {1899274},
zbl = {1012.34059},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_2001_51_5_a3/}
}
TY - JOUR AU - Benchohra, Mouffak AU - Ntouyas, Sotiris K. TI - Nonlocal Cauchy problems on semi-infinite intervals for neutral functional-differential and integrodifferential inclusions in Banach spaces JO - Mathematica slovaca PY - 2001 SP - 529 EP - 545 VL - 51 IS - 5 UR - http://geodesic.mathdoc.fr/item/MASLO_2001_51_5_a3/ LA - en ID - MASLO_2001_51_5_a3 ER -
%0 Journal Article %A Benchohra, Mouffak %A Ntouyas, Sotiris K. %T Nonlocal Cauchy problems on semi-infinite intervals for neutral functional-differential and integrodifferential inclusions in Banach spaces %J Mathematica slovaca %D 2001 %P 529-545 %V 51 %N 5 %U http://geodesic.mathdoc.fr/item/MASLO_2001_51_5_a3/ %G en %F MASLO_2001_51_5_a3
Benchohra, Mouffak; Ntouyas, Sotiris K. Nonlocal Cauchy problems on semi-infinite intervals for neutral functional-differential and integrodifferential inclusions in Banach spaces. Mathematica slovaca, Tome 51 (2001) no. 5, pp. 529-545. http://geodesic.mathdoc.fr/item/MASLO_2001_51_5_a3/
[1] BALACHANDRAN K.-CHANDRASEKARAN M.: Existence of solutions of a delay differential equation with nonlocal condition. Indian J. Pure Appl. Math. 27 (1996), 443-449. | MR | Zbl
[2] BENCHOHRA M.-NTOUYAS S.: Existence of mild solutions on noncompact intervals to second order initial value problems for a class of differential inclusions with nonlocal conditions. Comput. Math. Appl. 39 (2000), 11-18. | MR | Zbl
[3] BENCHOHRA M.-NTOUYAS S.: Existence of mild solutions on semiinfinite interval for first order dгfferential equations with nonlocal conditions. Comment. Math. Univ. Carolin. 41 (2000), 485-491. | MR
[4] BENCHOHRA M.-NTOUYAS S.: Existence of mild solutions of semilinear evolution inclusions with nonlocal conditions. Georgian Math. J. 7 (2000), 221-230. | MR
[5] BENCHOHRA M.-NTOUYAS S.: An existence result for semilinear delay integrodifferential inclusions of Sobolev type with nonlocal conditions. Comm. Appl. Nonlinear Anal. 7 (2000), 21-30. | MR | Zbl
[6] BENCHOHRA M.-NTOUYAS S.: Existence of mild solutions for certain delay semilinear evolution inclusions with nonlocal conditions. Dynam. Systems Appl. 9 (2000), 405-412. | MR
[7] BENCHOHRA M.-NTOUYAS S.: Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces. J. Math. Anal. Appl. 258 (2001), 573-590. | MR | Zbl
[8] 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. | MR | Zbl
[9] BYSZEWSКI L.-AKCA H.: On a mild solution of a semilinear functional-differential evolution nonlocal problem. J. Appl. Math. Stochastic Anal. 10 (1997), 265-271. | MR
[10] CONSTANTIN A.: Global existence of solutions for perturbed differentгal equatгons. J. Annali Mat. Pura. Appl. 168 (1995), 237-299. | MR
[11] DAUER J.-BALACHANDRAN K.: Existence of solutions for an integrodifferential equation with nonlocal condition in Banach spaces. Libertas Math. 16 (1996), 133-143. | MR | Zbl
[12] DEIMLING К.: Multivalued Differential Equations. Walter de Gruyter, Berlin-New York, 1992. | MR | Zbl
[13] DUGUNDJI J.-GRANAS A.: Fixed Point Theory. Monogгafie Matematyczne, PWN Warsawa, 1982. | MR | Zbl
[14] ERBE L.-KONG Q.-ZHANG B. : Oscillation Theory for Functional Differential Equations. Pure and Applied Mathematics, Marcel Dekker 190, Marcel Dekker, Inc, New York. 1994. | MR
[15] HALE J.: Theory of Functional Differential Equations. Springer, New York, 1977. | MR | Zbl
[16] HENDERSON J.: Boundary Value Problems for Functional Differential Equations. World Scientific, Singapore, 1995. | Zbl
[17] HERNANDEZ E.-HENRIQUEZ H.: Existence results for partial neutral functional differential equations with unbounded delay. J. Math. Anal. Appl. 221 (1998), 452-475. | MR | Zbl
[18] HERNANDEZ E.-HENRIQUEZ H.: Existence of periodic solutions of partial neutral functional differential equations with unbounded delay. J. Math. Anal. Appl. 221 (1998), 499-522. | MR | Zbl
[19] HU S.-PAPAGEORGIOU N.: Handbook of Multivalued Analysis, Volume I: Theory. Kluwer, Dordrecht-Boston-London, 1997. | MR | Zbl
[20] LASOTA A.-OPIAL Z.: An application of the Kakutani-Ky-Fan theorem, in the theory of ordinary differential equations. Bull. Polish Acad. Sci. Math. 13 (1965), 781-786. | MR | Zbl
[21] LIN Y.-LIU, J : Semilinear integrodifferential equations with nonlocal Cauchy problem. Nonlinear Anal. 26 (1996), 1023-1033. | MR | Zbl
[22] MA T.: Topological degrees for set-valued compact vector fields in locally convex spaces. Dissertationes Math. (Rozprawy Mat.) 92 (1972), 1-43. | MR
[23] MARTELLI M.: A Rothe's type theorem for non-compact acyclic-valued map. Boll. Un. Mat. Ital. (4) Ser. 11, Suppl. Fasc. no. 3 (1975), 70-76. | MR
[24] NTOUYAS S.: Global existence results for certain second order delay integrodifferential equations with nonlocal conditions. Dynam. Systems Appl. 7 (1998), 415-426. | MR | Zbl
[25] NTOUYAS S.-TSAMATOS P.: Global existence for semilinear evolution equations with nonlocal conditions. J. Math. Anal. Appl. 210 (1997), 679-687. | MR | Zbl
[26] NTOUYAS S.-TSAMATOS P.: Global existence for second order semilinear ordinary and delay integrodifferential equations with nonlocal conditions. Appl. Anal. 67 (1997), 245-257. | MR | Zbl
[27] NTOUYAS S.-TSAMATOS P.: Global existence for semilinear evolution integrodifferential equations with delay and nonlocal conditions. Appl. Anal. 64 (1997), 99-105. | MR | Zbl
[28] PAPAGEORGIOU N.: Boundary value problems for evolution inclusions. Comment. Math. Univ. Carolin. 29 (1988), 355-363. | MR | Zbl
[29] PAZY A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer-Verlag, New York, 1983. | MR | Zbl
[30] SCHAEFER H. : Über die Methode der a priori-Schranken. Math. Ann. 129 (1955), 415-416. | MR | Zbl
[31] YOSIDA K.: Functional Analysis. (6th ed.), Springer-Verlag, Berlin, 1980. | MR | Zbl