Bourgin-Yang type theorem and its application to 𝑍₂-equivariant Hamiltonian systems

DOI10.1090/S0002-9947-99-02144-3zbMath0923.58011MaRDI QIDQ4243627

Marek Izydorek

Publication date: 19 May 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsHamiltonian systemscritical pointsMorse index\(\mathbb{Z}_{2}\)-genus of space

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) Fixed points and coincidences in algebraic topology (55M20) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

A multiplicity result for a class of strongly indefinite asymptotically linear second order systems ⋮ Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems

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