S-ASYMPTOTICALLY !-PERIODIC MILD SOLUTIONS FOR THE SYSTEMS OF DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT IN BANACH SPACES

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Published: Feb 15, 2018
DOI: https://doi.org/10.14403/jcms.2018.31.1.13
Keywords:
almost periodicity, mild solution, S-asymptotically !periodic differential equations with piecewise constant argument, semigroup operator, resolvent operator, Banach fixed point theorem
Mathematics Subject Classification (2020):
Primary 34A12, 34K06, Secondary 34K05

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Hyun Mork Lee
Department of Mathematics, Chungnam National University
Hyun Ho Jang
Department of Mathematics, Chungnam National University
Chan Mi Yun
Department of Mathematics, Chungnam National University

Abstract





By using of the Banach fixed point theorem, the theory of a strongly continuous semigroup of operators and resolvent operator, we investigate the existence and uniqueness of S-asymptotically !-periodic mild solutions for some differential (integrodifferential) equations with piecewise constant argument when specially ! is an integer.





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Article Details

Issue
Vol. 31 No. 1 (2018)
Section
Articles