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2019 Generalized Weighted Pseudo-Almost Periodic Solutions and Generalized Weighted Pseudo-Almost Automorphic Solutions of Abstract Volterra Integro-Differential Inclusions
Marko Kostić
Afr. Diaspora J. Math. (N.S.) 22(1): 1-21 (2019).

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.

Citation

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Marko Kostić. "Generalized Weighted Pseudo-Almost Periodic Solutions and Generalized Weighted Pseudo-Almost Automorphic Solutions of Abstract Volterra Integro-Differential Inclusions." Afr. Diaspora J. Math. (N.S.) 22 (1) 1 - 21, 2019.

Information

Published: 2019
First available in Project Euclid: 20 August 2019

zbMATH: 07161358
MathSciNet: MR3992763

Subjects:
Primary: 34G25 , 35R11 , 42A75 , 44A35 , 47D06

Keywords: abstract Volterra integro-differential inclusions , convolution products , multivalued linear operators , weighted pseudo-almost automorphy , weighted pseudo-almost periodicity

Rights: Copyright © 2019 Mathematical Research Publishers

Vol.22 • No. 1 • 2019
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