A simple almost-periodicity criterion and applications
type: Item
instance of: scholarly article
title: A simple almost-periodicity criterion and applications
zbMATH Open document ID: 0608.34049
DOI: 10.1016/0022-0396(87)90039-8
author: Alain Haraux
published in: Journal of Differential Equations
publication date: 1987-01-01T00:00:00Z
review text: A simple sufficient condition for almost periodicity of functions \(u: {\mathbb{R}}\to X\) into a complete metric space X is observed and exploited for solutions of periodic linear ordinary differential equations in a Euclidean space (e.g. Hill's equation) and trajectories of periodic processes on a complete metric space (e.g. semilinear partial differential equations).
Mathematics Subject Classification ID: 34C27
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 3983667
zbMATH Keywords: first order differential equation
zbMATH Keywords: trajectories of periodic processes
zbMATH Keywords: complete metric space
reviewed by: Dieter Erle
MaRDI profile type: Publication
full work available at URL: 0022-0396(87)90039-8
OpenAlex ID: W2002412873
cites work: Asymptotic behavior of nonlinear contraction semigroups
cites work: Q3322454
cites work: Almost periodic differential equations
cites work: Q5580482
cites work: Asymptotic behavior of trajectories for some nonautonomous, almost periodic processes
cites work: Instability of periodic solutions of some evolution equations governed by time-dependent subdifferential operators
cites work: Q3281284
description: scientific article; zbMATH DE number 3983667