Homoclinic solutions for a kind of prescribed mean curvature Duffing-type equation

DOI10.1186/1687-1847-2013-279zbMath1375.34072OpenAlexW2161856707WikidataQ128519674 ScholiaQ128519674MaRDI QIDQ1682361

Zaitao Liang, Shiping Lu

Publication date: 30 November 2017

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-279

zbMATH Keywords

homoclinic solutioncontinuation theoremprescribed mean curvature

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (7)

Homoclinic solutions for a class of prescribed mean curvature Liénard equations ⋮ Periodic solutions for a kind of prescribed mean curvature Liénard equation with a singularity and a deviating argument ⋮ Homoclinic solutions for \(n\)-dimensional prescribed mean curvature \(p\)-Laplacian equations ⋮ Periodic solutions for prescribed mean curvature \(p\)-Laplacian equations with a singularity of repulsive type and a time-varying delay ⋮ Time-map analysis to establish the exact number of positive solutions of one-dimensional prescribed mean curvature equations ⋮ The existence of exponentially decreasing solutions to time dependent hyperbolic systems ⋮ Nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations

Cites Work

• Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh equations
• Periodic solutions for prescribed mean curvature Liénard equation with a deviating argument
• Homoclinic solutions for a class of second-order \(p\)-Laplacian differential systems with delay
• On the Dirichlet problem for the prescribed mean curvature equation over general domains
• Homoclinic solutions for ordinary \(p\)-Laplacian systems with a coercive potential
• Heat flow for the equation of surfaces with prescribed mean curvature
• Coincidence degree, and nonlinear differential equations
• Periodic solutions for prescribed mean curvature Rayleigh equation with a deviating argument
• The prescribed mean curvature equation for nonparametric surfaces
• Periodic solutions for nonlinear equations with mean curvature-like operators
• Periodic solutions for nonlinear systems with mean curvature-like operators
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems

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