Homoclinic solutions of some second order non-autonomous systems

DOI10.1016/J.NA.2009.05.003zbMath1203.34068OpenAlexW2088838102MaRDI QIDQ732611

Ziheng Zhang, Rong Yuan

Publication date: 9 October 2009

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.2009.05.003

zbMATH Keywords

variational methodscritical pointhomoclinic solutions

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 trajectories for nonlinear problems in mechanics (70K44) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (29)

Multiple results of damped systems with general nonlinearities ⋮ New conditions on homoclinic solutions for a subquadratic second order Hamiltonian system ⋮ On homoclinic orbits for a class of damped vibration systems ⋮ Infinitely many homoclinic solutions for a class of damped vibration problems ⋮ Multiple of homoclinic solutions for a perturbed dynamical systems with combined nonlinearities ⋮ Infinitely many homoclinic solutions for damped vibration problems with subquadratic potentials ⋮ Existence of homoclinic solutions for a class of second-order Hamiltonian systems with subquadratic growth ⋮ Existence of homoclinic solutions for a class of nonlinear difference equations ⋮ Existence of homoclinic solutions for \(p(n)\)-Laplacian Hamiltonian systems on Orlicz sequence spaces ⋮ Existence of homoclinic solutions for a class of second order systems ⋮ Infinitely many homoclinic orbits for Hamiltonian systems with indefinite sign subquadratic potentials ⋮ Infinitely many homoclinic solutions for some second order Hamiltonian systems ⋮ Infinitely many homoclinic solutions for nonautonomous \(p(t)\)-Laplacian Hamiltonian systems ⋮ Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems ⋮ Infinitely many solutions for sublinear Schrödinger-Kirchhoff-type equations with general potentials ⋮ Ground state homoclinic orbits of damped vibration problems ⋮ Existence of fast homoclinic orbits for a class of second-order non-autonomous problems ⋮ Non-periodic damped vibration systems with sublinear terms at infinity: infinitely many homoclinic orbits ⋮ Periodic solutions to second order nonautonomous differential systems with gyroscopic forces ⋮ Existence of homoclinic orbits for \(2n\)th-order nonlinear difference equations containing both many advances and retardations ⋮ Infinitely many fast homoclinic solutions for some second-order nonautonomous systems ⋮ Existence and multiplicity of homoclinic solutions for a class of damped vibration problems ⋮ Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems ⋮ Multiple homoclinics for nonperiodic damped systems with superlinear terms ⋮ Infinitely many homoclinic orbits for a class of second-order damped differential equations ⋮ Homoclinic orbits for damped vibration systems with asymptotically quadratic or subquadratic potentials ⋮ Ground state homoclinic orbits of superquadratic damped vibration systems ⋮ Existence and multiplicity of homoclinic solutions for second-order discrete Hamiltonian systems with subquadratic potential ⋮ Nonperiodic damped vibration systems with asymptotically quadratic terms at infinity: infinitely many homoclinic orbits

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