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Weighted pseudo δ-almost automorphic functions and abstract dynamic equations

  • Chao Wang ORCID logo EMAIL logo , Ravi P. Agarwal and Donal O’Regan

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.

Award Identifier / Grant number: 11601470

Award Identifier / Grant number: 11526181

Funding statement: This work was done while Chao Wang was a visiting scholar at Texas A&M University-Kingsville. This work is supported by Youth Fund of NSFC (no. 11601470), Tian Yuan Fund of NSFC (no. 11526181), Yunnan Province Science and Technology Department Applied Basic Research Project of China (no. 2014FB102), and Dong Lu youth excellent teachers development program of Yunnan University (no. wx069051).

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Received: 2017-05-05
Accepted: 2018-11-05
Published Online: 2019-11-22
Published in Print: 2021-04-01

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