Homoclinic solutions for a second-order \(p\)-Laplacian functional differential system with local condition

DOI10.1186/1687-1847-2014-244zbMath1351.34076OpenAlexW2132846125WikidataQ59323245 ScholiaQ59323245MaRDI QIDQ307259

Ming Lu, Shiping Lu

Publication date: 1 September 2016

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-244

zbMATH Keywords

periodic solutioncritical point theoryhomoclinic solutionfunctional differential system

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Boundary value problems for functional-differential equations (34K10)

Related Items (4)

Fast homoclinic solutions for a class of ordinary \(p\)-Laplacian systems ⋮ Homoclinic solutions for \(n\)-dimensional \(p\)-Laplacian neutral differential systems with a time-varying delay ⋮ Prescribed mean curvature equation on torus ⋮ Nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations

Cites Work

• Infinitely many homoclinic orbits of second-order \(p\)-Laplacian systems
• Homoclinic solutions for a nonlinear second order differential system with \(p\)-Laplacian operator
• Homoclinic orbits for a singular second-order neutral differential equation
• Homoclinic solutions for ordinary \(p\)-Laplacian systems with a coercive potential
• Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
• Exponential dichotomies and homoclinic orbits in functional differential equations
• Critical point theory and Hamiltonian systems
• Sufficient conditions for the existence of periodic solutions to some second order differential equations with a deviating argument
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Homoclinic solutions for nonautonomous second order Hamiltonian systems with a coercive potential
• Homoclinic orbits for a class of Hamiltonian systems
• Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential

This page was built for publication: Homoclinic solutions for a second-order \(p\)-Laplacian functional differential system with local condition