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

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...

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Detalles Bibliográficos
Autores principales: Ardjouni,Abdelouaheb, Djoudi,Ahcene
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2018
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000300049
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Sumario: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].