Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.
Wydawca
Czasopismo
Rocznik
Tom
Numer
Opis fizyczny
Daty
otrzymano
2013-11-22
zaakceptowano
2014-05-12
online
2014-06-30
Twórcy
autor
- Laboratory of Mathematics, University of Sidi Bel-Abbes, PO Box 89, 22000 Sidi Bel-Abbes, Algeria, adsbaliki@yahoo.fr
autor
- Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, benchohra@univ-sba.dz
Bibliografia
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- [3] S. Baghli and M. Benchohra, Perturbed functional and neutral functional evolution equations with infinite delay in Fréchetspaces, Electron. J. Differential Equations 2008 (69) (2008), 1–19.
- [4] S. Baghli and M. Benchohra, Global uniqueness results for partial functional and neutral functional evolution equationswith infinite delay, Differential Integral Equations 23 (1&2) (2010), 31–50.
- [5] S. Baghli and M. Benchohra, Existence results for semilinear neutral functional differential equations involving evolutionoperators in Fréchet spaces, Georgian Math. J. 17 (2010), 1072–9176.
- [6] A. Caicedo, C. Cuevas, G. M. Mophou, and G. M. N’Guérékata, Asymptotic behavior of solutions of some semilinear functionaldifferential and integro-differential equations with infinite delay in Banach spaces. J. Franklin Inst. 349 (2012), 1-24.[WoS]
- [7] T. A. Burton and C. Kirk, A fixed point theorem of Krasnoselskii type, Math. Nachrichten 189 (1998), 23–31.
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- [9] B.C. Dhage, V. Lakshmikantham, On global existence and attractivity results for nonlinear functional integral equations,Nonlinear Anal. 72 (2010), 2219-2227.
- [10] J. P.C. dos Santos, On state-dependent delay partial neutral functional integro-differential equations, Appl. Math. Comput.216 (2010) 1637–1644.
- [11] K. J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Springer-Verlag, New York, 2000.
- [12] X. Fu, Existence and stability of solutions to neutral equations with infinite delay, Electron. J. Differential Equations, Vol.2013 (2013), No. 55, pp. 1–19.
- [13] J. K. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York, 1977.
- [14] J. Hale and J. Kato, Phase space for retarded equations with infinite delay, Funkcial. Ekvac. 21 (1978), 11–41.
- [15] J. K. Hale and S. M. Verduyn Lunel, Introduction to Functional Differential Equation, Applied Mathematical Sciences 99,Springer-Verlag, New York, 1993.
- [16] E. Hernández M. and M. A. McKibben, On state-dependent delay partial neutral functional-differential equations, Appl.Math. Comput. 186 (2007), 294–301.
- [17] E. Hernández, M. A. McKibben and H. R. Henríquez, Existence results for partial neutral functional differential equationswith state-dependent delay Math. Comput. Modelling 49 (2009), 1260–1267.
- [18] Y. Hino, S. Murakami, and T. Naito, Functional Differential Equations with Unbounded Delay, Springer-Verlag, Berlin, 1991.
- [19] V. Kolmanovskii, and A. Myshkis, Introduction to the Theory and Application of Functional-Differential Equations. KluwerAcademic Publishers, Dordrecht, 1999.
- [20] V. Lakshmikantham, L. Wen and B. Zhang, Theory of Differential Equations with Unbounded Delay, Kluwer Acad. Publ.,Dordrecht, 1994.
- [21] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York,1983.
- [22] N. Van Minh, Gaston M. N’Guérékata, and C. Preda. On the asymptotic behavior of the solutions of semilinear nonautonomousequations. Semigroup Forum 87 (2013), 18-34.[WoS]
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_msds-2014-0006