Periodic solutions of asymptotically linear delay differential systems via Hamiltonian systems
From MaRDI portal
Publication:414833
DOI10.1016/j.jde.2012.02.009zbMath1255.34068OpenAlexW1980456709MaRDI QIDQ414833
Publication date: 11 May 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2012.02.009
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Periodic solutions to functional-differential equations (34K13)
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Cites Work
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- Multiplicity results on period solutions to higher dimensional differential equations with multiple delays
- The principle of symmetric criticality
- Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems
- Ordinary differential equations which yield periodic solutions of differential delay equations
- Introduction to functional differential equations
- Nontrivial periodic solutions for strong resonance Hamiltonian systems
- Infinite dimensional Morse theory and multiple solution problems
- Index theory for symplectic paths with applications
- Relative Morse index and its application to Hamiltonian systems in the presence of symmetries
- Proof and generalization of Kaplan-Yorke's conjecture under the condition \(F^{\prime}\) \((0) > 0\) on periodic solutions to differential delay equations
- Maslov-type index theory for symplectic paths and spectral flow. II
- Maslov \(P\)-index theory for a symplectic path with applications
- Iteration theory of \(L\)-index and multiplicity of brake orbits
- 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
- On the construction of periodic solutions of kaplan-yorke type for some differential delay equations
- Periodic solutions of asymptotically linear Hamiltonian systems
