Title:
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Nonlocal Cauchy problems on semi-infinite intervals for neutral functional-differential and integrodifferential inclusions in Banach spaces (English) |
Author:
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Benchohra, Mouffak |
Author:
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Ntouyas, Sotiris K. |
Language:
|
English |
Journal:
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Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
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51 |
Issue:
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5 |
Year:
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2001 |
Pages:
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529-545 |
. |
Category:
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math |
. |
MSC:
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34G25 |
MSC:
|
34K30 |
MSC:
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34K40 |
idZBL:
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Zbl 1012.34059 |
idMR:
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MR1899274 |
. |
Date available:
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2009-09-25T14:04:33Z |
Last updated:
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2012-08-01 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/129588 |
. |
Reference:
|
[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. Zbl 0854.34065, MR 1387239 |
Reference:
|
[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. Zbl 0955.34047, MR 1763833 |
Reference:
|
[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 1795080 |
Reference:
|
[4] BENCHOHRA M.-NTOUYAS S.: Existence of mild solutions of semilinear evolution inclusions with nonlocal conditions.Georgian Math. J. 7 (2000), 221-230. MR 1779548 |
Reference:
|
[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. Zbl 1110.34341, MR 1769964 |
Reference:
|
[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 1844640 |
Reference:
|
[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. Zbl 0982.45008, MR 1835560 |
Reference:
|
[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. Zbl 0748.34040, MR 1137634 |
Reference:
|
[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 1468121 |
Reference:
|
[10] CONSTANTIN A.: Global existence of solutions for perturbed differentгal equatгons.J. Annali Mat. Pura. Appl. 168 (1995), 237-299. MR 1378247 |
Reference:
|
[11] DAUER J.-BALACHANDRAN K.: Existence of solutions for an integrodifferential equation with nonlocal condition in Banach spaces.Libertas Math. 16 (1996), 133-143. Zbl 0862.45016, MR 1412536 |
Reference:
|
[12] DEIMLING К.: Multivalued Differential Equations.Walter de Gruyter, Berlin-New York, 1992. Zbl 0820.34009, MR 1189795 |
Reference:
|
[13] DUGUNDJI J.-GRANAS A.: Fixed Point Theory.Monogгafie Matematyczne, PWN Warsawa, 1982. Zbl 0483.47038, MR 0660439 |
Reference:
|
[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 1309905 |
Reference:
|
[15] HALE J.: Theory of Functional Differential Equations.Springer, New York, 1977. Zbl 0352.34001, MR 0508721 |
Reference:
|
[16] HENDERSON J.: Boundary Value Problems for Functional Differential Equations.World Scientific, Singapore, 1995. Zbl 0841.34068 |
Reference:
|
[17] HERNANDEZ E.-HENRIQUEZ H.: Existence results for partial neutral functional differential equations with unbounded delay.J. Math. Anal. Appl. 221 (1998), 452-475. Zbl 0915.35110, MR 1621730 |
Reference:
|
[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. Zbl 0926.35151, MR 1621738 |
Reference:
|
[19] HU S.-PAPAGEORGIOU N.: Handbook of Multivalued Analysis, Volume I: Theory.Kluwer, Dordrecht-Boston-London, 1997. Zbl 0887.47001, MR 1485775 |
Reference:
|
[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. Zbl 0151.10703, MR 0196178 |
Reference:
|
[21] LIN Y.-LIU, J : Semilinear integrodifferential equations with nonlocal Cauchy problem.Nonlinear Anal. 26 (1996), 1023-1033. Zbl 0916.45014, MR 1362770 |
Reference:
|
[22] MA T.: Topological degrees for set-valued compact vector fields in locally convex spaces.Dissertationes Math. (Rozprawy Mat.) 92 (1972), 1-43. MR 0309103 |
Reference:
|
[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 0394752 |
Reference:
|
[24] NTOUYAS S.: Global existence results for certain second order delay integrodifferential equations with nonlocal conditions.Dynam. Systems Appl. 7 (1998), 415-426. Zbl 0914.35148, MR 1639604 |
Reference:
|
[25] NTOUYAS S.-TSAMATOS P.: Global existence for semilinear evolution equations with nonlocal conditions.J. Math. Anal. Appl. 210 (1997), 679-687. Zbl 0884.34069, MR 1453198 |
Reference:
|
[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. Zbl 0906.35110, MR 1614061 |
Reference:
|
[27] NTOUYAS S.-TSAMATOS P.: Global existence for semilinear evolution integrodifferential equations with delay and nonlocal conditions.Appl. Anal. 64 (1997), 99-105. Zbl 0874.35126, MR 1460074 |
Reference:
|
[28] PAPAGEORGIOU N.: Boundary value problems for evolution inclusions.Comment. Math. Univ. Carolin. 29 (1988), 355-363. Zbl 0696.35074, MR 0957404 |
Reference:
|
[29] PAZY A.: Semigroups of Linear Operators and Applications to Partial Differential Equations.Springer-Verlag, New York, 1983. Zbl 0516.47023, MR 0710486 |
Reference:
|
[30] SCHAEFER H. : Über die Methode der a priori-Schranken.Math. Ann. 129 (1955), 415-416. Zbl 0064.35703, MR 0071723 |
Reference:
|
[31] YOSIDA K.: Functional Analysis.(6th ed.), Springer-Verlag, Berlin, 1980. Zbl 0435.46002, MR 0617913 |
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