Homoclinic orbits of two classes of fourth order semilinear differential equations with periodic nonlinearity

DOI10.1007/s12190-008-0045-4zbMath1361.34044OpenAlexW2006988604MaRDI QIDQ949301

Chengyue Li

Publication date: 21 October 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0045-4

zbMATH Keywords

homoclinic orbitFisher-Kolmogorov equationmountain pass Lemma

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (7)

Global attractor of the extended Fisher-Kolmogorov equation in \(H^k\)spaces ⋮ Unnamed Item ⋮ Ground state homoclinic solutions for a class of superquadratic fourth-order differential equations ⋮ Homoclinic solutions for a nonperiodic fourth order differential equations without coercive conditions ⋮ Unnamed Item ⋮ HOMOCLINIC SOLUTIONS FOR FOURTH ORDER DIFFERENTIAL EQUATIONS WITH SUPERLINEAR NONLINEARITIES ⋮ Infinitely many homoclinic solutions for fourth-order differential equations with locally defined potentials

Cites Work

• Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations
• A variational approach to homoclinic orbits in Hamiltonian systems
• Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations
• A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers
• Periodic and homoclinic orbits for Lorentz-Lagranian systems via variational methods
• Periodic and homoclinic solutions of extended Fisher-Kolmogorov equations

This page was built for publication: Homoclinic orbits of two classes of fourth order semilinear differential equations with periodic nonlinearity