Remotely Almost Periodic Solutions of Ordinary Differential Equations

C Maulén,M Pinto,S Castillo,M Kostić,Xiaolong Qin

doi:10.1155/2021/9985454

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.

Highlights

Introduction andPreliminaries e notion of an almost periodic function was introduced by a Danish mathematician H
We analyze the existence and uniqueness of remotely almost periodic solutions for systems of ordinary differential equations. e 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
3.1 is eorem 6, where we show that, under hypotheses (H1)-(H3) clarified below, equation (41) has a unique positive remotely almost periodic solution for small values of nonnegative real parameter μ

Summary

Introduction

Introduction andPreliminaries e notion of an almost periodic function was introduced by a Danish mathematician H. We analyze the existence and uniqueness of remotely almost periodic solutions for systems of ordinary differential equations.

Results

Conclusion