Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations

DOI10.1080/00036811.2010.524154zbMath1232.34067OpenAlexW2011857125MaRDI QIDQ5199477

Chengjun Guo, Yuan-Tong Xu, Ravi P. Agarwal, Donal O'Regan

Publication date: 16 August 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.524154

zbMATH Keywords

critical point theoryhomoclinic orbitsubharmonic solutionshigher order differential equation\(Z_2\) group index theory

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 (14)

Existence of homoclinic orbits for fourth-order \(p\)-Laplacian difference equations ⋮ Homoclinic solutions of 2\(n\)th-order difference equations containing both advance and retardation ⋮ Existence results of solitons in discrete non-linear Schrödinger equations ⋮ Existence and nonexistence of solutions for fourth-order nonlinear difference boundary value problems via variational methods ⋮ Nonexistence and existence results for a class of fourth-order difference Neumann boundary value problems ⋮ Spectrum of discrete 2n-th order difference operator with periodic boundary conditions and its applications ⋮ Homoclinic solutions for a class of fourth‐order difference equations ⋮ Existence of homoclinic orbits of superquadratic second-order Hamiltonian systems ⋮ Existence of solutions to boundary value problems for a higher-dimensional difference system ⋮ Nonexistence and existence results for a class of fourth-order difference mixed boundary value problems ⋮ Existence of periodic solutions for a class of nonlinear difference equations ⋮ Periodic and subharmonic solutions for second-order nonlinear difference equations ⋮ Existence of periodic solutions with prescribed minimal period of a \(2n\)th-order discrete system ⋮ Homoclinic orbits for second order \(p\)-Laplacian difference equations containing both advance and retardation

Cites Work

• Homoclinic orbits for first order Hamiltonian systems possessing super-quadratic potentials
• A variational approach to homoclinic orbits in Hamiltonian systems
• First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems
• Homoclinic orbits for a singular second-order neutral differential equation
• Existence of homoclinic solutions for a class of time-dependent Hamiltonian systems
• Sub-harmonics of first order Hamiltonian systems and their asymptotic behaviors
• Some results on connecting orbits for a class of Hamiltonian systems
• Homoclinic solutions of Hamiltonian systems with symmetry
• Homoclinic orbits of a Hamiltonian system
• Homoclinic orbits for first order Hamiltonian systems
• Dual variational methods in critical point theory and applications
• Homoclinic orbits for a nonperiodic Hamiltonian system
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Homoclinic orbits for asymptotically linear Hamiltonian systems

This page was built for publication: Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations