Periodic solutions for second order differential equations
type: Item
instance of: scholarly article
title: Periodic solutions for second order differential equations
zbMATH Open document ID: 1094.34523
author: Fuzhong Cong
published in: Applied Mathematics Letters
publication date: 2006-01-24T00:00:00Z
review text: Consider the differential equation \[ (p(t)x')'+f(t,x)=0,\tag{*} \] where \(p\) and \(f\) are continuously differentiable and periodic in \(t\). The author proves the unique existence of a periodic solution to (*) unter Landesman-Lazer-type conditions.
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 5001496
zbMATH Keywords: second-order differential equation
zbMATH Keywords: existence and uniqueness
zbMATH Keywords: period solution
MaRDI profile type: Publication
full work available at URL: j.aml.2004.06.025
OpenAlex ID: W2008697635
cites work: Landesman-lazer type problems for Fučík's spectrum
cites work: Existence of periodic solutions of Duffing equations
cites work: Linear eigenvalues and a nonlinear boundary value problem
cites work: Application of a Lemma on Bilinear Forms to a Problem in Nonlinear Oscillations
cites work: On a nonlinear two-point boundary value problem
cites work: A constructive proof of existence and uniqueness of \(2\pi\)-periodic solutions to the Duffing equation
cites work: Positive solutions of \(2m\)th-order boundary value problems
cites work: Riesz bases of solutions of Sturm-Liouville equations
DOI: 10.1016/J.AML.2004.06.025
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description: scientific article; zbMATH DE number 5001496