Weighted pseudo δ-almost automorphic functions and abstract dynamic equations-Reference-Cited by-同舟云学术

Weighted pseudo δ-almost automorphic functions and abstract dynamic equations

Published:2019-11-22 Issue:2 Volume:28 Page:313-330
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Wang Chao¹^ORCID,Agarwal Ravi P.²,O’Regan Donal³

Affiliation:

1. Department of Mathematics , Yunnan University , Kunming , Yunnan 650091 , P. R. China ; and Department of Mathematics, Texas A&M University-Kingsville, TX 78363-8202, Kingsville, TX, USA

2. Department of Mathematics , Texas A&M University-Kingsville , TX 78363-8202 , Kingsville ; and Florida Institute of Technology, Melbourne, FL 32901 , USA

3. School of Mathematics, Statistics and Applied Mathematics , National University of Ireland , Galway , Ireland

Abstract

Abstract In this paper, we propose the concept of a weighted pseudo δ-almost automorphic function under the matched space for time scales and we present some properties. Also, we obtain sufficient conditions for the existence of weighted pseudo δ-almost automorphic mild solutions to a class of semilinear dynamic equations under the matched spaces for time scales.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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