On the qualitative behavior of periodic solutions of differential systems
type: Item
instance of: scholarly article
title: On the qualitative behavior of periodic solutions of differential systems
zbMATH Open document ID: 1188.34049
author: Zhengxin Zhou
published in: Journal of Computational and Applied Mathematics
publication date: 2009-09-29T00:00:00Z
review text: The method of reflecting functions introduced by V. I. Mironenko is applied to study the existence and stability of \(\omega\)-periodic solutions of the differential system \[ x'=X(t,x) \] with \(X(t,x)\) being \(2\omega\)-periodic in \(t\). Recall that the function \(F(t,x)\) is said a reflective function for the considered system, if \(F\) satisfies the partial differential equation \[ F_t + F_x X(t,x)+X(-t,F)=0\,. \]
reviewed by: Ivan Ginchev
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 5608852
zbMATH Keywords: periodic solutions
zbMATH Keywords: reflecting functions
zbMATH Keywords: qualitative behaviour.
MaRDI profile type: Publication
full work available at URL: j.cam.2009.06.035
OpenAlex ID: W2094228273
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DOI: 10.1016/J.CAM.2009.06.035
description: scientific article; zbMATH DE number 5608852