EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS
Faycal Bouchelaghem, Abdelouaheb Ardjouni, Ahcene Djoudi
Ural Mathematical Journal · 2020
doi:10.15826/umj.2020.1.004 (opens in a new tab)
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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.
Abstract licence: CC BY
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