Multiple periodic solutions of the second order Hamiltonian systems with superlinear terms

DOI10.1016/J.JMAA.2011.06.061zbMath1237.37042OpenAlexW2050326813MaRDI QIDQ641545

Jiabao Su, Rushun Tian, Xiao-Li Li

Publication date: 24 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.06.061

zbMATH Keywords

periodic solutionsMorse theoryHamiltonian systemsbifurcation methodhomological linking

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)

Related Items (5)

Superlinear gradient system with a parameter ⋮ Multiple periodic solutions of superlinear ordinary differential equations with a parameter ⋮ Dynamic properties of a nonlinear viscoelastic Kirchhoff-type equation with acoustic control boundary conditions. I ⋮ Index theory for second order linear Hamiltonian systems with \(L^1\) coefficient matrix satisfying generalized periodic boundary value conditions ⋮ Periodic solutions for a class of new superquadratic second order Hamiltonian systems

Cites Work

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• Multiplicity results for asymptotically linear elliptic problems at resonance.
• On differentiable functions with isolated critical points
• Periodic solutions of hamiltonian systems
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

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