Weighted piecewise pseudo double-almost periodic solution for impulsive evolution equations

Donal O'Regan

doi:10.22436/jnsa.010.07.41

Weighted piecewise pseudo double-almost periodic solution for impulsive evolution equations

Donal O'Regan

Mathematics

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

Abstract

In this paper, based on the concept and properties of almost-complete closedness time scales (ACCTS), we investigate the existence of weighted pseudo double-almost periodic mild solutions for non-autonomous impulsive evolution equations. We also consider the exponential stability of weighted pseudo double-almost periodic solutions. Finally, we conclude our paper by providing several illustrative applications to different types of dynamic equations and mathematical models. These applications justify the practical usefulness of the established theoretical results. (C) 2017 All rights reserved.

Original language	English (Ireland)
Number of pages	24
Journal	JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
Volume	10
DOIs	https://doi.org/10.22436/jnsa.010.07.41
Publication status	Published - 1 Oct 2017

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Authors
Wang, C,Agarwal, RP,O'Regan, D

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10.22436/jnsa.010.07.41

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title = "Weighted piecewise pseudo double-almost periodic solution for impulsive evolution equations",

abstract = "In this paper, based on the concept and properties of almost-complete closedness time scales (ACCTS), we investigate the existence of weighted pseudo double-almost periodic mild solutions for non-autonomous impulsive evolution equations. We also consider the exponential stability of weighted pseudo double-almost periodic solutions. Finally, we conclude our paper by providing several illustrative applications to different types of dynamic equations and mathematical models. These applications justify the practical usefulness of the established theoretical results. (C) 2017 All rights reserved.",

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N2 - In this paper, based on the concept and properties of almost-complete closedness time scales (ACCTS), we investigate the existence of weighted pseudo double-almost periodic mild solutions for non-autonomous impulsive evolution equations. We also consider the exponential stability of weighted pseudo double-almost periodic solutions. Finally, we conclude our paper by providing several illustrative applications to different types of dynamic equations and mathematical models. These applications justify the practical usefulness of the established theoretical results. (C) 2017 All rights reserved.

AB - In this paper, based on the concept and properties of almost-complete closedness time scales (ACCTS), we investigate the existence of weighted pseudo double-almost periodic mild solutions for non-autonomous impulsive evolution equations. We also consider the exponential stability of weighted pseudo double-almost periodic solutions. Finally, we conclude our paper by providing several illustrative applications to different types of dynamic equations and mathematical models. These applications justify the practical usefulness of the established theoretical results. (C) 2017 All rights reserved.

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DO - 10.22436/jnsa.010.07.41

M3 - Article

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JO - JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS

JF - JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS

ER -

Weighted piecewise pseudo double-almost periodic solution for impulsive evolution equations

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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