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Ural Mathematical Journal, 2020, Volume 6, Issue 1, Pages 42–53
DOI: https://doi.org/10.15826/umj.2020.1.004 (Mi umj110) 		 
This article is cited in 1 scientific paper (total 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
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DOI: https://doi.org/10.15826/umj.2020.1.004
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.
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Document Type: Article
Language: English
Citation: Faycal Bouchelaghem, Abdelouaheb Ardjouni, Ahcene Djoudi, “Existence and exponential stability of positive periodic solutions for second-order dynamic equations”, Ural Math. J., 6:1 (2020), 42–53
Citation in format AMSBIB
\Bibitem{BouArdDjo20}
\by Faycal Bouchelaghem, Abdelouaheb Ardjouni, Ahcene Djoudi
\paper Existence and exponential stability of positive periodic solutions for second-order dynamic equations
\jour Ural Math. J.
\yr 2020
\vol 6
\issue 1
\pages 42--53
\mathnet{http://mi.mathnet.ru/umj110}
\crossref{https://doi.org/10.15826/umj.2020.1.004}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR4128759}
\zmath{https://zbmath.org/?q=an:1452.34088}
\elib{https://elibrary.ru/item.asp?id=43793623}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85088939921}
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