Multiple periodic solutions of differential delay equations via Hamiltonian systems. II
From MaRDI portal
Publication:2493828
DOI10.1016/j.na.2005.06.012zbMath1136.34330OpenAlexW1976842194MaRDI QIDQ2493828
Publication date: 16 June 2006
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2005.06.012
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
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 ⋮ Periodic solutions for a class of second order delay differential systems ⋮ Multiple periodic solutions of delay differential systems with \(2k-1\) lags via variational approach ⋮ Subharmonic \(P^{l}\)-solutions of first order Hamiltonian systems ⋮ The Clark dual and multiple periodic solutions of delay differential equations ⋮ The existence of periodic solutions of delay differential equations by \(E^+\)-Conley index theory ⋮ Multiple symmetric periodic solutions of differential systems with distributed delay ⋮ A geometrical index for the group \(S^n\) and its applications in periodic solutions of differential and differential-difference equations ⋮ Index theory and multiple solutions for asymptotically linear second-order delay differential equations ⋮ Periodic solutions of asymptotically linear delay differential systems via Hamiltonian systems ⋮ The existence of periodic solutions for second-order delay differential systems ⋮ Periodic solutions to a class of distributed delay differential equations via variational methods ⋮ Periodic solutions of delay differential systems via Hamiltonian systems ⋮ Multiple periodic solutions of high order differential delay equations with \(2k-1\) lags ⋮ Periodic solutions of second-order differential equations with multiple delays ⋮ Multiplicity results on period solutions to higher dimensional differential equations with multiple delays ⋮ Multiplicity results on periodic solutions to higher-dimensional differential equations with multiple delays ⋮ NONTRIVIAL PERIODIC SOLUTIONS FOR SECOND-ORDER DIFFERENTIAL DELAY EQUATIONS ⋮ Multiple periodic solutions of differential delay equations with \(2k-1\) lags ⋮ A note on periodic solutions of the delay differential equation 𝑥’(𝑡)=-𝑓(𝑥(𝑡-1)) ⋮ Multiple periodic solutions to a class of nonautonomous second-order delay differential equation ⋮ 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 ⋮ The existence of multiple periodic solutions of nonautonomous delay differential equations ⋮ Existence results of periodic solutions for non-autonomous differential delay equations with asymptotically linear properties ⋮ Periodic solutions for nonautonomous first order delay differential systems via Hamiltonian systems ⋮ On the Number of Periodic Solutions to Kaplan–Yorke-like High Order Differential Delay Equations with 2k Lags ⋮ Existence of multiple periodic solutions for a class of second-order delay differential equations ⋮ Periodic solutions for a class of second-order differential delay equations ⋮ A generalized Wirtinger's inequality with applications to a class of ordinary differential equations ⋮ NONTRIVIAL PERIODIC SOLUTIONS TO A TYPE OF DELAYED RESONANT DIFFERENTIAL EQUATIONS
Cites Work
- Unnamed Item
- Morse theory and asymptotic linear Hamiltonian system
- Critical point theory and Hamiltonian systems
- Ordinary differential equations which yield periodic solutions of differential delay equations
- Introduction to functional differential equations
- Multiple periodic solutions of Hamiltonian systems with strong resonance at infinity
- Infinite dimensional Morse theory and multiple solution problems
- Cohomology and Morse theory for strongly indefinite functionals
- Delay equations. Functional-, complex-, and nonlinear analysis
- Maslov-type index and periodic solution of asymptotically linear Hamiltonian systems which are resonant at infinity
- Morse theory for asymptotically linear Hamiltonian systems
- 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 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
- On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
- Periodic solutions of some differential delay equations created by Hamiltonian systems
- Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
- Periodic solutions of asymptotically linear Hamiltonian systems
- Infinite dimensional cohomology groups and periodic solutions of asymptotically linear Hamiltonian systems
This page was built for publication: Multiple periodic solutions of differential delay equations via Hamiltonian systems. II