A note on periodic solutions of the delay differential equation 𝑥’(𝑡)=-𝑓(𝑥(𝑡-1))

DOI10.1090/S0002-9939-2012-11386-3zbMath1271.34070WikidataQ115289257 ScholiaQ115289257MaRDI QIDQ4911830

Jian She Yu

Publication date: 20 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

existencesymmetric periodic solutionsnonuniquenessKaplan-Yorke solutions

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13)

Related Items (6)

Existence of a period two solution of a delay differential equation ⋮ Multiple symmetric periodic solutions of differential systems with distributed delay ⋮ BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY ⋮ Nontrivial periodic solutions to delay difference equations via Morse theory ⋮ On the Number of Periodic Solutions of Delay Differential Equations ⋮ NONTRIVIAL PERIODIC SOLUTIONS TO A TYPE OF DELAYED RESONANT DIFFERENTIAL EQUATIONS

Cites Work

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• Ordinary differential equations which yield periodic solutions of differential delay equations
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• Proof and generalization of Kaplan-Yorke's conjecture under the condition \(F^{\prime}\) \((0) > 0\) on periodic solutions to differential delay equations
• Change of the attractor structure for \(\dot x(t) = f(x(t-1)) \) when \(f\) changes from monotone to non-monotone negative feedback
• Global dynamics of delay differential equations
• Multiple periodic solutions of differential delay equations via Hamiltonian systems. I
• Multiple periodic solutions of differential delay equations via Hamiltonian systems. II
• Multiplicity results for periodic solutions to delay differential equations via critical point theory
• Periodic solutions of special differential equations: an example in non-linear functional analysis
• Hamiltonian symmetric groups and multiple periodic solutions of differential delay equations
• Periodic solutions of some differential delay equations created by Hamiltonian systems
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