Existence and multiplicity of homoclinic orbits for second-order Hamiltonian systems with superquadratic potential

DOI10.1155/2013/328630zbMath1267.34074OpenAlexW2042870961WikidataQ58915958 ScholiaQ58915958MaRDI QIDQ1949449

Chun-Lei Tang, Ying Lv

Publication date: 8 May 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/328630

zbMATH Keywords

Hamiltonian systemshomoclinic orbitssuperquadratic potentialMinimax methods

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems ⋮ New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition ⋮ Periodic and solitary travelling waves in infinite lattices without Ambrosetti-Rabinowitz condition ⋮ Multiple Homoclinic Solutions for Second‐Order Perturbed Hamiltonian Systems

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