Multiple periodic solutions of delay differential systems with \(2k-1\) lags via variational approach

DOI10.3934/dcds.2016013zbMath1354.34121OpenAlexW2360452163MaRDI QIDQ321603

Weigao Ge, Li Zhang

Publication date: 14 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016013

zbMATH Keywords

critical pointsvariational approachautonomous delay differential systemsexistence of multiple solutionssymmetric periodic solutions

Mathematics Subject Classification ID

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

Related Items

Multiple periodic solutions of differential delay systems with \(2k\) lags ⋮ Periodic orbits to Kaplan-Yorke like differential delay equations with two lags of ratio \((2k-1)/2\) ⋮ Multiple periodic orbits of high-dimensional differential delay systems ⋮ Multiple periodic solutions of high order differential delay equations with \(2k-1\) lags ⋮ Multiple periodic solutions of differential delay equations with \(2k-1\) lags ⋮ On the Number of Periodic Solutions to Kaplan–Yorke-like High Order Differential Delay Equations with 2k Lags ⋮ NONTRIVIAL PERIODIC SOLUTIONS TO A TYPE OF DELAYED RESONANT DIFFERENTIAL EQUATIONS

Cites Work

• Multiplicity results on period solutions to higher dimensional differential equations with multiple 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
• Two existence theorems of periodic solutions for differential delay equations
• Oscillatory periodic solutions of differential-delay equations with multiple lags
• Multiple periodic solutions of Hamiltonian systems with strong resonance at infinity
• Proof and generalization of Kaplan-Yorke's conjecture under the condition \(F^{\prime}\) \((0) > 0\) on periodic solutions to differential delay 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
• 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 the differential delay equation $$\dot x(t) = - f(x(t - 1))$$

This page was built for publication: Multiple periodic solutions of delay differential systems with \(2k-1\) lags via variational approach