Journal of Applied Mathematics & Bioinformatics

Positive weighted pseudo almost automorphic solution for a class of systems of neutral nonlinear delay integral equations

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  • Abstract

    In this work, we shall explain a new result concerning weighted pseudo almost automorphic solutions for more general systems of nonlinear neutral infinite delay integral equations. We establish a new fixed point theorem in the cone, which extend some existing results even in the case of scalar version, and then, we apply it to prove our results.

    Mathematics Subject Classification: 92B20; 43A60; 44B20
    Keywords: Fixed point in the cone; Unique fixed point; Nonlinear neutral delay integral systems; weighted pseudo almost automorphic; positive solutions