Homoclinic solutions for a second-order singular differential equation

DOI10.1007/S11784-018-0575-9zbMath1409.34041OpenAlexW2807150633WikidataQ115377785 ScholiaQ115377785MaRDI QIDQ1615294

Shiping Lu, Xuewen Jia

Publication date: 30 October 2018

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-018-0575-9

zbMATH Keywords

periodic solutionsingularityhomoclinic solutionLiénard equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (7)

Positive periodic solution for indefinite singular Liénard equation with \(p\)-Laplacian ⋮ Positive periodic solutions of singular third-order functional differential equations with \(p\)-Laplacian-like operators ⋮ Attractive singularity problems for superlinear Liénard equation ⋮ Singularities of attractive and repulsive type for \(p\)-Laplacian generalized Liénard equation ⋮ Existence of periodic, solitary and compacton travelling wave solutions of a \((3+1)\)-dimensional time-fractional nonlinear evolution equations with applications ⋮ Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity ⋮ A graph-theoretic method to study the existence of periodic solutions for a coupled Rayleigh system via inequality techniques

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homoclinic solutions for a class of second-order \(p\)-Laplacian differential systems with delay
• Periodic solutions of singular second order differential equations: upper and lower functions
• Homoclinic orbits for a singular second order Hamiltonian system
• Existence of periodic solutions for second-order differential equations with singularities and the strong force condition
• Homoclinic solutions for ordinary \(p\)-Laplacian systems with a coercive potential
• On periodic solutions of second-order differential equations with attractive-repulsive singularities
• Existence of a pair of periodic solutions of an O.D.E. Generalizing a problem in nonlinear elasticity, via variational methods
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Twist property of periodic motion of an atom near a charged wire
• Homoclinic solutions for a class of prescribed mean curvature Liénard equations
• Existence of homoclinic solutions for a class of neutral functional differential equations
• Remarks on periodic orbits of dynamical systems with repulsive singularities
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions
• Periodic solutions for second-order differential equations with a singular nonlinearity
• Periodic solutions of Liénard equation with a singularity and a deviating argument
• Non-collision periodic solutions of prescribed energy problem for a class of singular Hamiltonian systems
• Bounded and homoclinic-like solutions of a second-order singular differential equation
• Periodic Solutions of Singular Nonlinear Perturbations of the Ordinary p-Laplacian
• Heteroclinic and homoclinic solutions for a singular Hamiltonian system
• Multiple homoclinic orbits for autonomous, singular potentials
• On Periodic Solutions of Nonlinear Differential Equations with Singularities
• Twist periodic solutions for differential equations with a combined attractive-repulsive singularity

This page was built for publication: Homoclinic solutions for a second-order singular differential equation