Geodesic
Existence and exponential stability of positive periodic solutions for second-order dynamic equations
Ural mathematical journal, Tome 6 (2020) no. 1, pp. 42-53 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : Time scales. 
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Faycal Bouchelaghem; Abdelouaheb Ardjouni; Ahcene Djoudi. Existence and exponential stability of positive periodic solutions for second-order dynamic equations. Ural mathematical journal, Tome 6 (2020) no. 1, pp. 42-53. http://geodesic.mathdoc.fr/item/UMJ_2020_6_1_a3/

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