Weighted pseudo δ-almost automorphic functions and abstract dynamic equations

Chao Wang; Ravi P. Agarwal; Donal O'Regan

doi:10.1515/gmj-2019-2066

Weighted pseudo δ-almost automorphic functions and abstract dynamic equations

Chao Wang, Ravi P. Agarwal, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	313-330
Number of pages	18
Journal	Georgian Mathematical Journal
Volume	28
Issue number	2
DOIs	https://doi.org/10.1515/gmj-2019-2066
Publication status	Published - 1 Apr 2021

Keywords

Time scales

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10.1515/gmj-2019-2066

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title = "Weighted pseudo δ-almost automorphic functions and abstract dynamic equations",

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.",

keywords = "Time scales",

author = "Chao Wang and Agarwal, \{Ravi P.\} and Donal O'Regan",

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T1 - Weighted pseudo δ-almost automorphic functions and abstract dynamic equations

AU - Wang, Chao

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

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N2 - 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.

AB - 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.

KW - Time scales

UR - https://www.scopus.com/pages/publications/85075748903

U2 - 10.1515/gmj-2019-2066

DO - 10.1515/gmj-2019-2066

M3 - Article

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SN - 1072-947X

VL - 28

SP - 313

EP - 330

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 2

ER -

Weighted pseudo δ-almost automorphic functions and abstract dynamic equations

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