Existence of periodic solutions for first-order delay differential equations via critical point theory

DOI10.1186/1687-2770-2013-254zbMath1301.34089OpenAlexW2127769058WikidataQ59302108 ScholiaQ59302108MaRDI QIDQ2252544

Lichun Chen, Shao-Kang Zhang

Publication date: 18 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-254

zbMATH Keywords

periodic solutioncritical pointlinkingweak linking

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Cites Work

• Unnamed Item
• Multiplicity results of periodic solutions for a class of first order delay differential equations
• The existence of periodic solutions of \(f'(x)=-\alpha f(x-1)(1+f(x))\)
• Periodic solutions of some nonlinear, autonomous functional differential equations. II
• Periodic solutions of some nonlinear autonomous functional differential equations
• Weak linking.
• A further generalization of the Schauder fixed point theorem
• A periodicity theorem for autonomous functional differential equations
• Multiplicity results for periodic solutions to delay differential equations via critical point theory

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