Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales

Abstract In this paper, based on the concepts of changing-periodic time scales, we introduce a notion of local pseudo almost automorphic functions on an arbitrary time scale with a bounded graininess function μ. Then, some properties of local pseudo almost automorphic functions are investigated. As...

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Main Authors:	Chao Wang, Ravi P. Agarwal, Donal O’Regan, Rathinasamy Sakthivel
Format:	Article
Language:	English
Published:	SpringerOpen 2019-08-01
Series:	Boundary Value Problems
Subjects:	Local pseudo almost automorphic functions Mild solutions Changing-periodic time scales Π-semigroup
Online Access:	http://link.springer.com/article/10.1186/s13661-019-1247-4

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spelling	doaj-f48f1007fed9475ca4abef834566661b2020-11-25T03:33:37ZengSpringerOpenBoundary Value Problems1687-27702019-08-012019112410.1186/s13661-019-1247-4Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scalesChao Wang0Ravi P. Agarwal1Donal O’Regan2Rathinasamy Sakthivel3Department of Mathematics, Yunnan UniversityDepartment of Mathematics, Texas A&M University-KingsvilleSchool of Mathematics, Statistics and Applied Mathematics, National University of IrelandDepartment of Mathematics, Bharathiar UniversityAbstract In this paper, based on the concepts of changing-periodic time scales, we introduce a notion of local pseudo almost automorphic functions on an arbitrary time scale with a bounded graininess function μ. Then, some properties of local pseudo almost automorphic functions are investigated. As applications, by adopting the concept of a Π-semigroup on time scales, we obtain some new sufficient conditions for the existence of local pseudo almost automorphic mild solutions for a class of semilinear dynamic equations on arbitrary time scales.http://link.springer.com/article/10.1186/s13661-019-1247-4Local pseudo almost automorphic functionsMild solutionsChanging-periodic time scalesΠ-semigroup
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Chao Wang Ravi P. Agarwal Donal O’Regan Rathinasamy Sakthivel
spellingShingle	Chao Wang Ravi P. Agarwal Donal O’Regan Rathinasamy Sakthivel Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales Boundary Value Problems Local pseudo almost automorphic functions Mild solutions Changing-periodic time scales Π-semigroup
author_facet	Chao Wang Ravi P. Agarwal Donal O’Regan Rathinasamy Sakthivel
author_sort	Chao Wang
title	Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales
title_short	Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales
title_full	Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales
title_fullStr	Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales
title_full_unstemmed	Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales
title_sort	local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales
publisher	SpringerOpen
series	Boundary Value Problems
issn	1687-2770
publishDate	2019-08-01
description	Abstract In this paper, based on the concepts of changing-periodic time scales, we introduce a notion of local pseudo almost automorphic functions on an arbitrary time scale with a bounded graininess function μ. Then, some properties of local pseudo almost automorphic functions are investigated. As applications, by adopting the concept of a Π-semigroup on time scales, we obtain some new sufficient conditions for the existence of local pseudo almost automorphic mild solutions for a class of semilinear dynamic equations on arbitrary time scales.
topic	Local pseudo almost automorphic functions Mild solutions Changing-periodic time scales Π-semigroup
url	http://link.springer.com/article/10.1186/s13661-019-1247-4
work_keys_str_mv	AT chaowang localpseudoalmostautomorphicfunctionswithapplicationstosemilineardynamicequationsonchangingperiodictimescales AT ravipagarwal localpseudoalmostautomorphicfunctionswithapplicationstosemilineardynamicequationsonchangingperiodictimescales AT donaloregan localpseudoalmostautomorphicfunctionswithapplicationstosemilineardynamicequationsonchangingperiodictimescales AT rathinasamysakthivel localpseudoalmostautomorphicfunctionswithapplicationstosemilineardynamicequationsonchangingperiodictimescales
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Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales

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