THE EXISTENCE AND UNIQUENESS OF POSITIVE
WEIGHTED PSEUDO ALMOST AUTOMORPHIC SOLUTION
FOR SOME SYSTEMS OF NEUTRAL NONLINEAR
DELAY INTEGRAL EQUATIONS
Abdellatif Sadrati1, Abderrahim Zertiti2
1,2Department of Mathematics
Faculty of Sciences
University Abdelmalek Essaâdi
B.P. 2121, Tetouan, MOROCCO
Abstract. In this paper, we investigate the existence and uniqueness of positive weighted pseudo almost automorphic solution to some systems of neutral nonlinear integral equations with variant delays. Our purpose is to extend some existing results in the scalar case and to generalize others in the case of systems. An example is given to illustrate our results.
AMS Subject Classification: 45G10, 45G15, 47H30
Key Words and Phrases: almost automorphy, weighted pseudo almost automorphic solution, nonlinear delay integral systems, Thompson's part metric, unique fixed point


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DOI: 10.12732/ijam.v29i3.5

Volume: 29
Issue: 3
Year: 2016