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JOURNALS // Eurasian Mathematical Journal // Archive
Eurasian Math. J., 2022 Volume 13, Number 4, Pages 54–60 (Mi emj453)
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Existence of periodic solutions to a certain impulsive differential equation with piecewise constant arguments

M. L. Büyükkahraman

Department of Mathematics, Uşak University, 64200 Uşak, Turkey

Abstract: This paper concerns the existence of the solutions to a first order nonlinear impulsive differential equation with piecewise constant arguments. Moreover, the periodicity of the solutions is investigated.

Keywords and phrases: Carvalho's method, periodic solution, impulsive differential equation, piecewise constant arguments.

MSC: 34C25, 34K11, 34K45

Received: 03.08.2020
Revised: 18.11.2022

Language: English

DOI: 10.32523/2077-9879-2022-13-4-54-60



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© Steklov Math. Inst. of RAS, 2024