The local linking theorem with an application to a class of second-order systems

DOI10.1016/J.NA.2009.10.045zbMath1195.34059OpenAlexW2062951006MaRDI QIDQ844988

Shengzhong Duan, Xian Wu

Publication date: 5 February 2010

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.2009.10.045

zbMATH Keywords

periodic solutionscritical pointshomoclinic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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)

Related Items (4)

Periodic solutions for second order Hamiltonian systems with impulses via the local linking theorem ⋮ Subharmonic solutions for a class of second-order impulsive Lagrangian systems with damped term ⋮ The existence of solutions for a class of semilinear elliptic systems ⋮ Infinitely many homoclinic orbits for a class of second-order damped differential equations

Cites Work

• Periodic solutions for a class of non-autonomous Hamiltonian systems
• Periodic solutions for a class of superquadratic Hamiltonian systems
• Critical point theory and Hamiltonian systems
• Existence of homoclinic solution for the second order Hamiltonian systems.
• Applications of local linking to critical point theory
• Periodic solutions for a class of nonautonomous second order Hamiltonian systems
• Periodic solutions of hamiltonian systems
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems

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