Existence of homoclinic solution for the second order Hamiltonian systems.

DOI10.1016/J.JMAA.2003.10.026zbMath1057.34038OpenAlexW2011223503MaRDI QIDQ1426075

Chun-Lei Tang, Zeng-Qi Ou

Publication date: 14 March 2004

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.2003.10.026

zbMATH Keywords

generalized mountain pass theoremhomoclinic solutionsuperquadratic potentialssecond-order Hamiltonian system

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

• Critical point theory and Hamiltonian systems
• A note on homoclinic orbits for second-order Hamiltonian systems
• Existence of homoclinic solutions for a class of time-dependent Hamiltonian systems
• The existence of homoclinic orbits for Hamiltonian systems with the potentials changing sign
• Some results on connecting orbits for a class of Hamiltonian systems
• Homoclinic orbits for second order Hamiltonian system with quadratic growth
• Homoclinic orbits for a special class of non autonomous Hamiltonian systems
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems
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