A Hamiltonian with periodic orbits having several delays

DOI10.1016/j.jde.2005.08.013zbMath1163.34386OpenAlexW2023827987MaRDI QIDQ818484

Christopher Johnston, Solomon M. Jekel

Publication date: 20 March 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2005.08.013

zbMATH Keywords

Hamiltoniandelay equation

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13)

Related Items (10)

Periodic solutions of second-order differential equations with multiple delays ⋮ Multiplicity results on period solutions to higher dimensional differential equations with multiple delays ⋮ Multiple periodic solutions for non-canonical Hamiltonian systems with application to differential delay equations ⋮ Multiplicity results on periodic solutions to higher-dimensional differential equations with multiple delays ⋮ A note on periodic solutions of the delay differential equation 𝑥’(𝑡)=-𝑓(𝑥(𝑡-1)) ⋮ Variational approaches for the existence of multiple periodic solutions of differential delay equations ⋮ Oscillatory periodic solutions for two differential-difference equations arising in applications ⋮ The existence of periodic solutions for non-autonomous differential delay equations via minimax methods ⋮ A generalized Wirtinger's inequality with applications to a class of ordinary differential equations ⋮ Periodic solutions for a class of non-autonomous differential delay equations

Cites Work

• Unnamed Item
• Ordinary differential equations which yield periodic solutions of differential delay equations
• Proof and generalization of Kaplan-Yorke's conjecture under the condition \(F^{\prime}\) \((0) > 0\) on periodic solutions to differential delay equations
• Periodic solutions of hamiltonian systems
• Periodic solutions of special differential equations: an example in non-linear functional analysis
• Multiple periodic solutions of differential delay equations created by asymptotically linear Hamiltonian systems
• 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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