Some computable results on the existence of periodic solutions for singular non-autonomous third-order systems
type: Item
instance of: scholarly article
title: Some computable results on the existence of periodic solutions for singular non-autonomous third-order systems
zbMATH Open document ID: 1083.34521
published in: Applied Mathematics and Computation
publication date: 2005-05-04T00:00:00Z
review text: The paper deals with the existence of a periodic solution for nonlinear nonautonomous third-order systems of ordinary differential equations with singular terms. Sufficient conditions are given, under which a system has periodic solutions whenever the value of deformation with respect to the first variation of the nonsingular subsystem is sufficiently small. The proof applies the topological degree theory. The presented method is constructive in the sense that the existence of periodic orbits can be verified numerically. A singular system is treated numerically as an illustration of the result obtained.
reviewed by: Ivan Ginchev
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 47H11
zbMATH DE Number: 2165314
zbMATH Keywords: singular nonautonomous solutions
zbMATH Keywords: periodic solutions
zbMATH Keywords: topological degrees.
author: Bahman Mehri
author: M. Niksirat
MaRDI profile type: Publication
full work available at URL: j.amc.2003.10.056
OpenAlex ID: W2072329799
cites work: On Schauder's fixed point theorem and forced second-order nonlinear oscillations
cites work: Q5727924
cites work: Q3510772
cites work: On the existence of periodic solutions for the quasi-linear third-order differential equation
cites work: The existence of periodic solutions for the non-linear autonomous O. D. E. s
cites work: On the existence of periodic solutions for autonomous second-order systems
cites work: Q4143788
DOI: 10.1016/J.AMC.2003.10.056
description: scientific article; zbMATH DE number 2165314