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Generalized Weighted Pseudo-Almost Periodic Solutions and Generalized Weighted Pseudo-Almost Automorphic Solutions of Abstract Volterra Integro-Differential Inclusions

Volume 22, Number 1 (2019), 1 - 21

Generalized Weighted Pseudo-Almost Periodic Solutions and Generalized Weighted Pseudo-Almost Automorphic Solutions of Abstract Volterra Integro-Differential Inclusions

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Abstract

In this paper, we analyze the existence and uniqueness of generalized weighted pseudo-almost automorphic solutions of abstract Volterra integro-differential inclusions in Banach spaces. The main results are devoted to the study of various types of weighted pseudo-almost periodic (automorphic) properties of convolution products. We illustrate our abstract results with some examples and possible applications.