The existence of multiple periodic solutions of nonautonomous delay differential equations
type: Item
instance of: scholarly article
title: The existence of multiple periodic solutions of nonautonomous delay differential equations
zbMATH Open document ID: 1222.34086
DOI: 10.1155/2011/829107
author: Jianyong Qiao
author: Sumit K. Garg
published in: Journal of Applied Mathematics
publication date: 2011-07-22T00:00:00Z
review text: Summary: We study the multiplicity of periodic solutions of nonautonomous delay differential equations which are asymptotically linear both at zero and at infinity. By making use of a theorem of Benci, some sufficient conditions are obtained to guarantee the existence of multiple periodic solutions.
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 5930819
zbMATH Keywords: variational functional
zbMATH Keywords: nonautonomous delay differential equations
zbMATH Keywords: multiple periodic solutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/829107
OpenAlex ID: W1997670972
Wikidata QID: Q58690537
cites work: The existence of periodic solutions of \(f'(x)=-\alpha f(x-1)(1+f(x))\)
cites work: A periodicity theorem for autonomous functional differential equations
cites work: Multiplicity results for periodic solutions to delay differential equations via critical point theory
cites work: Ordinary differential equations which yield periodic solutions of differential delay equations
cites work: Multiple periodic solutions of differential delay equations via Hamiltonian systems. I
cites work: Multiple periodic solutions of differential delay equations via Hamiltonian systems. II
cites work: Multiple periodic solutions of differential delay equations created by asymptotically linear Hamiltonian systems
cites work: Proof and generalization of Kaplan-Yorke's conjecture under the condition \(F^{\prime}\) \((0) > 0\) on periodic solutions to differential delay equations
cites work: The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
cites work: Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
cites work: Positive periodic solutions of systems of first order ordinary differential equations
cites work: On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
cites work: Q3749777
cites work: Infinite dimensional cohomology groups and periodic solutions of asymptotically linear Hamiltonian systems
cites work: Q3746171
DBLP publication ID: journals/jam/XiaoZ11
description: scientific article; zbMATH DE number 5930819