Amerio's Theorem for Remotely Almost Periodic Differential Equations

Fuente: arXiv
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Auteur principal: Cheban, David
Format: Preprint
Publié: 2026
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author Cheban, David
author_facet Cheban, David
contents The aim of this paper is to study the remotely almost periodic motions of dynamical systems and solutions of nonlinear differential equations. We establish some properties of remotely almost periodic motions and generalize the well known Amerio's theorem for abstract remotely almost periodic dynamical systems. Application of our general results for different classes of nonlinear differential/difference and algebraic equations is given.
format Preprint
id arxiv_https___arxiv_org_abs_2603_28059
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Amerio's Theorem for Remotely Almost Periodic Differential Equations
Cheban, David
Dynamical Systems
37B20, 37B25, 37B55, 34C27, 34D05, 34D20, 34K14, 34K20
The aim of this paper is to study the remotely almost periodic motions of dynamical systems and solutions of nonlinear differential equations. We establish some properties of remotely almost periodic motions and generalize the well known Amerio's theorem for abstract remotely almost periodic dynamical systems. Application of our general results for different classes of nonlinear differential/difference and algebraic equations is given.
title Amerio's Theorem for Remotely Almost Periodic Differential Equations
topic Dynamical Systems
37B20, 37B25, 37B55, 34C27, 34D05, 34D20, 34K14, 34K20
url https://arxiv.org/abs/2603.28059