The Clark dual and multiple periodic solutions of delay differential equations

DOI10.1186/1687-2770-2011-44zbMath1275.34093OpenAlexW2099716813WikidataQ59267820 ScholiaQ59267820MaRDI QIDQ359837

Huafeng Xiao, Zhiming Guo, Jian She Yu

Publication date: 23 August 2013

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-44

zbMATH Keywords

periodic solutiondelay differential equationasymptotic linearityClark dualMorse-Ekeland index

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13)

Cites Work

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• A periodicity theorem for autonomous functional differential equations
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• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• Multiplicity results for periodic solutions to delay differential equations via critical point theory
• Multiple periodic solutions of differential delay equations created by asymptotically linear Hamiltonian systems
• Periodic solutions of some differential delay equations created by Hamiltonian systems
• On the Stability of a Periodic Solution of a Differential Delay Equation

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