A note on homoclinic orbits for second-order Hamiltonian systems

DOI10.1007/s11766-998-0017-3zbMath0919.34045OpenAlexW2953218675MaRDI QIDQ1272722

Shaoping Wu, Hai-Tao Yang

Publication date: 25 August 1999

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-998-0017-3

zbMATH Keywords

mountain pass theoremhomoclinic orbitsnonautonomous Hamiltonian systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Applications of functional analysis to differential and integral equations (46N20)

Related Items (3)

Existence of homoclinic solution for the second order Hamiltonian systems. ⋮ Homoclinic solutions for second order Hamiltonian systems near the origin ⋮ Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials

Cites Work

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• Critical point theory and Hamiltonian systems
• Solutions in spectral gaps for a nonlinear equation of Schrödinger type
• Some existence results of solutions for the semilinear elliptic equations on \(\mathbb{R}^ N\)
• Homoclinic orbits for second order Hamiltonian system with quadratic growth
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems

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