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

Chao Wang; Ravi P. Agarwal; Donal O’Regan; Rathinasamy Sakthivel

doi:10.1186/s13661-019-1247-4

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

Chao Wang, Ravi P. Agarwal, Donal O’Regan, Rathinasamy Sakthivel

Mathematics

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

10 Citations (Scopus)

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.

Original language	English
Article number	133
Journal	Boundary Value Problems
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1186/s13661-019-1247-4
Publication status	Published - 1 Dec 2019

Keywords

Changing-periodic time scales
Local pseudo almost automorphic functions
Mild solutions
Π-semigroup

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10.1186/s13661-019-1247-4

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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.",

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AU - Sakthivel, Rathinasamy

PY - 2019/12/1

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N2 - 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.

AB - 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.

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KW - Local pseudo almost automorphic functions

KW - Mild solutions

KW - Π-semigroup

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JO - Boundary Value Problems

JF - Boundary Value Problems

IS - 1

M1 - 133

ER -

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

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Keywords

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