EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS

EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS

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...

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Bibliographic Details
Main Authors: Faycal Bouchelaghem, Abdelouaheb Ardjouni, Ahcene Djoudi
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2020-07-01
Series:Ural Mathematical Journal
Subjects:
positive periodic solutions, exponential stability, schauder fixed point theorem, dynamic equations, time scales
Online Access:https://umjuran.ru/index.php/umj/article/view/217
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