Remotely Almost Periodic Solutions of Ordinary Differential Equations

Author:

Maulén C.1ORCID,Castillo S.2ORCID,Kostić M.3ORCID,Pinto M.4ORCID

Affiliation:

1. Departamento de Ingenierí a and Centro de Modelamiento Matemático (UMI 2807 CNRS), Universidad de Chile, Santiago de Chile, Chile

2. Departamento de Matemática, Facultad de Ciencias, Universidad del Bío Bío, Casilla 5-C, Concepción, Chile

3. Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, Serbia

4. Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Santiago de Chile, Chile

Abstract

In this paper, we analyze the existence and uniqueness of remotely almost periodic solutions for systems of ordinary differential equations. The existence and uniqueness of remotely almost periodic solutions are achieved by using the results about the exponential dichotomy and the Bi-almost remotely almost periodicity of the homogeneous part of the corresponding systems of ordinary differential equations under our consideration.

Funder

Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja

Publisher

Hindawi Limited

Subject

General Mathematics

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