Homoclinic solutions for a class of second order Hamiltonian systems with locally defined potentials

DOI10.1016/j.na.2011.12.018zbMath1243.37054OpenAlexW1963974374MaRDI QIDQ765249

Lipeng Chu, Qingye Zhang

Publication date: 19 March 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.12.018

zbMATH Keywords

variational methodHamiltonian systemhomoclinic solution

Mathematics Subject Classification ID

Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (12)

Infinitely many solutions for fractional Hamiltonian systems with locally defined potentials ⋮ New results for fractional Hamiltonian systems ⋮ Infinitely many fast homoclinic solutions for a class of superquadratic damped vibration systems ⋮ Unnamed Item ⋮ Infinitely many homoclinic solutions for a second-order Hamiltonian system with locally defined potentials ⋮ Homoclinic solutions for a class of second order Hamiltonian systems ⋮ Multiple Homoclinic Solutions for Second‐Order Perturbed Hamiltonian Systems ⋮ New existence and multiplicity results of homoclinic orbits for a class of second order Hamiltonian systems ⋮ Homoclinic solutions for second order Hamiltonian systems near the origin ⋮ Infinitely many fast homoclinic solutions of damped vibration systems with superquadratic conditions or combined nonlinearities ⋮ New homoclinic orbits for Hamiltonian systems with asymptotically quadratic growth at infinity ⋮ Generic existence of nondegenerate homoclinic solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinitely many homoclinic solutions for second-order Hamiltonian systems with odd nonlinearities
• Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems
• Existence and multiplicity of homoclinic orbits for the second order Hamiltonian systems
• Infinitely many homoclinic orbits for the second order Hamiltonian systems with general potentials
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials
• Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
• Infinitely many homoclinic solutions for second order Hamiltonian systems
• Existence of homoclinic solutions for a class of time-dependent Hamiltonian systems
• Multiple homoclinic orbits for a class of conservative systems
• The existence of homoclinic orbits for Hamiltonian systems with the potentials changing sign
• Existence of homoclinic solution for the second order Hamiltonian systems.
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems
• Some results on connecting orbits for a class of Hamiltonian systems
• Homoclinic orbits for second order Hamiltonian system with quadratic growth
• Minimax theorems
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• On an Elliptic Equation with Concave and Convex Nonlinearities
• Homoclinic orbits for a class of Hamiltonian systems
• Nonlinear boundary value problems with concave nonlinearities near the origin
• Multiple homoclinic orbits for a class of Hamiltonian systems.

This page was built for publication: Homoclinic solutions for a class of second order Hamiltonian systems with locally defined potentials