Homoclinic orbits for second order Hamiltonian system with quadratic growth

DOI10.1007/BF02662495zbMath0841.34051MaRDI QIDQ1908601

Shaoping Wu, Jia Quan Liu

Publication date: 21 July 1996

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

zbMATH Keywords

second-order Hamiltonian systemexistence and multiplicity of homoclinic orbits

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Applications of functional analysis to differential and integral equations (46N20)

Related Items (9)

Homoclinic orbits for second-order Hamiltonian systems with some twist condition ⋮ Existence of homoclinic solution for the second order Hamiltonian systems. ⋮ The existence therems for a class of sublinear elliptic equations in ℝ N ⋮ Homoclinic solutions for a class of second order Hamiltonian systems ⋮ A class of resonant elliptic problems with sublinear nonlinearity at origin and at infinity ⋮ Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials ⋮ A note on homoclinic orbits for second-order Hamiltonian systems ⋮ Homoclinic solutions for a class of second order Hamiltonian systems with locally defined potentials ⋮ Infinitely many homoclinic solutions for second order Hamiltonian systems

Cites Work

• Unnamed Item
• Critical points with lack of compactness and singular dynamical systems
• Critical point theory and Hamiltonian systems
• On a class of nonlinear Schrödinger equations
• Dual variational methods in critical point theory and applications
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Homoclinic orbits for a class of Hamiltonian systems

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