Multiplicity results of periodic solutions for a class of first order delay differential equations
type: Item
instance of: scholarly article
title: Multiplicity results of periodic solutions for a class of first order delay differential equations
zbMATH Open document ID: 1245.34074
author: Xian Wu
author: Ke Wu
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-05-04T00:00:00Z
reviewed by: Meng Fan
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 58E50
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 6030418
zbMATH Keywords: variational method
zbMATH Keywords: delay differential equations
zbMATH Keywords: critical point
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.02.007
OpenAlex ID: W4206803460
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DOI: 10.1016/J.JMAA.2012.02.007
review text: The paper is concerned with the periodic boundary value problem of a class of first order differential equations with both delay and advance deviating arguments NEWLINE\[NEWLINEu'(t)=-\Lambda u(t+r)-f(t,u(t-r)), u(0)=-u(2r), u(0)=u(4r),NEWLINE\]NEWLINE where \(r>0\) is a given constant, \(\Lambda\in (-\pi/(2r),3\pi/(2r))\), \(f\) is continuous and such that \(f(t+r,z)=f(t,z)\). Multiplicity results of periodic solutions of the BVP are obtained via some recent critical point theorems for strongly indefinite functionals.
description: scientific article; zbMATH DE number 6030418