GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR FUNCTIONAL EVOLUTION EQUATIONS

Abdessalam Baliki; Mouffak Benchohra

doi:10.11948/2014006

2014 Volume 4 Issue 2

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Abdessalam Baliki, Mouffak Benchohra. GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR FUNCTIONAL EVOLUTION EQUATIONS[J]. Journal of Applied Analysis & Computation, 2014, 4(2): 129-138. doi: 10.11948/2014006

Citation:

Abdessalam Baliki, Mouffak Benchohra. GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR FUNCTIONAL EVOLUTION EQUATIONS[J]. Journal of Applied Analysis & Computation, 2014, 4(2): 129-138. doi: 10.11948/2014006

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR FUNCTIONAL EVOLUTION EQUATIONS

1 Laboratory of Mathematics, University of Sidi Bel-Abbès, P. O. Box 89, 22000 Sidi Bel-Abbès, Algeria;
2 Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

Abstract

In this paper we present some results of global existence and attractivity of mild solutions for semilinear evolution equations with infinite delay in a Banach space. The considerations of this paper are based on the Schauder's fixed point theorem and the theory of evolution system.
- Semilinear functional differential evolution equations /
- mild solution /
- fixed-point /
- evolution system /
- infinite delay /
- infinite interval /
- attractivity
MSC: 34G20;34K20;34K30

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