S-asymptotically ω-periodic solution for a nonlinear differential equation with piecewise constant argument in a Banach space

In this paper, we give some sufficient conditions for the existence and uniqueness of S-asymptotically ω-periodic (mild) solutions for a differential equation with piecewise constant argument, when ω is an integer. An example is also given in order to illustrate the result.

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Detalles Bibliográficos
Autores principales: Dimbour,William, Mado,Jean-Claude
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300005
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Descripción
Sumario:In this paper, we give some sufficient conditions for the existence and uniqueness of S-asymptotically ω-periodic (mild) solutions for a differential equation with piecewise constant argument, when ω is an integer. An example is also given in order to illustrate the result.