Periodic solutions for a class of non-autonomous differential delay equations

DOI10.1007/s00030-009-0035-8zbMath1186.34091OpenAlexW2086229403MaRDI QIDQ1049603

Rong Cheng, Junxiang Xu

Publication date: 13 January 2010

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-009-0035-8

zbMATH Keywords

periodic solutionFloquet theorydelay equationHamiltonian systemsymplectic transformation

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Periodic solutions to functional-differential equations (34K13)

Related Items (5)

Index theory and multiple solutions for asymptotically linear second-order delay differential equations ⋮ 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 ⋮ Periodic solutions for nonautonomous first order delay differential systems via Hamiltonian systems

Cites Work

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• A Hamiltonian with periodic orbits having several delays
• Morse theory and asymptotic linear Hamiltonian system
• Critical point theory and Hamiltonian systems
• Ordinary differential equations which yield periodic solutions of differential delay equations
• Multiple periodic solutions of Hamiltonian systems with strong resonance at infinity
• Periodic solutions of delay equations with three delays via bi-Hamiltonian systems
• Multiple periodic solutions of differential delay equations via Hamiltonian systems. I
• Solutions of asymptotically linear operator equations via morse theory
• 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
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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