A new index theory for \(\mathrm{GL}^{+}(2)\)-paths with applications to asymptotically linear systems

DOI10.1016/J.JDE.2016.12.014zbMath1360.58009OpenAlexW2564899599MaRDI QIDQ509743

Sai Liu, Long, Yiming

Publication date: 17 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.jde.2016.12.014

zbMATH Keywords

periodic solutionindex theoryasymptotically linear systemsgeneral matrix path

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Linear ordinary differential equations and systems (34A30)

Related Items (2)

\( \omega^+\)-type index of \(\mathrm{GL}^+(2)\)-paths ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A new obstruction to embedding Lagrangian tori
• Morse theory and asymptotic linear Hamiltonian system
• Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems
• Topological structures of \(\omega\)-subsets in symplectic groups
• A Maslov-type index theory for symplectic paths
• Index theory for symplectic paths with applications
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Periodic solutions of asymptotically linear Hamiltonian systems

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