Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales

Abdelouaheb Ardjouni; Ahcene Djoudi

doi:10.4067/S0719-06462018000300049

DOI:

https://doi.org/10.4067/S0719-06462018000300049

Abstract

This paper is mainly concerned the global asymptotic stability of the zero solution of a class of nonlinear neutral dynamic equations in C¹_rd. By converting the nonlinear neutral dynamic equation into an equivalent integral equation, our main results are obtained via the Banach contraction mapping principle. The results obtained here extend the work of Yazgan, Tunc and Atan [17].

Keywords

Fixed points , neutral dynamic equations , asymptotic stability , time scales

Abdelouaheb Ardjouni Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria.
Ahcene Djoudi Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria.

Pages: 49–63
Date Published: 2019-03-15
Vol. 20 No. 3 (2018)

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