Almost periodic solutions of nonlinear second order differential equations
type: Item
instance of: scholarly article
title: Almost periodic solutions of nonlinear second order differential equations
zbMATH Open document ID: 0756.34051
DOI: 10.1007/BF03323078
author: Klaus Schmitt
author: James Robert jun. Ward
published in: Results in Mathematics
publication date: 1992-09-27T00:00:00Z
review text: Existence results are proved for almost periodic solutions of nonlinear second order differential equations of the form \(x''=f(t,x)\). The results extend existence results for periodic solutions of periodic equations, where the existence of periodic sub- and supersolutions implied the existence of periodic solutions. The main condition on \(f\) is that it should be quasimonotone increasing.
Mathematics Subject Classification ID: 34C27
zbMATH DE Number: 62161
zbMATH Keywords: almost periodic solutions
zbMATH Keywords: nonlinear second order differential equations
zbMATH Keywords: periodic sub- and supersolutions
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03323078
OpenAlex ID: W1992839977
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description: scientific article; zbMATH DE number 62161