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JOURNALS // Ural Mathematical Journal // Archive

Ural Math. J., 2020 Volume 6, Issue 1, Pages 42–53 (Mi umj110)

This article is cited in 1 paper

Existence and exponential stability of positive periodic solutions for second-order dynamic equations

Faycal Bouchelaghema, Abdelouaheb Ardjounib, Ahcene Djoudic

a High School of Management Sciences Annaba
b Department of Mathematics and Informatics, Souk Ahras University
c Department of Mathematics, Annaba University

Abstract: In this article, we establish the existence of positive periodic solutions for second-order dynamic equations on time scales. The main method used here is the Schauder fixed point theorem. The exponential stability of positive periodic solutions is also studied. The results obtained here extend some results in the literature. An example is also given to illustrate this work.

Keywords: Positive periodic solutions, Exponential stability, Schauder fixed point theorem, Dynamic equations, Time scales.

Language: English

DOI: 10.15826/umj.2020.1.004



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