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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1247-4 |
| _version_ | 1818302462131437568 |
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| author | Chao Wang Ravi P. Agarwal Donal O’Regan Rathinasamy Sakthivel |
| author_facet | Chao Wang Ravi P. Agarwal Donal O’Regan Rathinasamy Sakthivel |
| author_sort | Chao Wang |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-13T05:39:17Z |
| format | Article |
| id | doaj.art-f48f1007fed9475ca4abef834566661b |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-13T05:39:17Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-f48f1007fed9475ca4abef834566661b2022-12-21T23:57:50ZengSpringerOpenBoundary 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 |
| 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 |
| title | 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_short | 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 |
| 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 |
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