Weighted piecewise pseudo double-almost periodic solution for impulsive evolution equations
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Authors
Chao Wang
- Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People’s Republic of China.
- Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., TX 78363-8202, Kingsville, USA.
Ravi P. Agarwal
- Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., TX 78363-8202, Kingsville, USA.
Donal O'Regan
- School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland.
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.
Share and Cite
ISRP Style
Chao Wang, Ravi P. Agarwal, Donal O'Regan, Weighted piecewise pseudo double-almost periodic solution for impulsive evolution equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 7, 3863--3886
AMA Style
Wang Chao, Agarwal Ravi P., O'Regan Donal, Weighted piecewise pseudo double-almost periodic solution for impulsive evolution equations. J. Nonlinear Sci. Appl. (2017); 10(7):3863--3886
Chicago/Turabian Style
Wang, Chao, Agarwal, Ravi P., O'Regan, Donal. "Weighted piecewise pseudo double-almost periodic solution for impulsive evolution equations." Journal of Nonlinear Sciences and Applications, 10, no. 7 (2017): 3863--3886
Keywords
- Time scales
- weighted pseudo double-almost periodic solution
- impulsive evolution equations.
MSC
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