Homoclinic solutions for a class of second-order \(p\)-Laplacian differential systems with delay

DOI10.1016/J.NONRWA.2010.08.005zbMath1216.34063OpenAlexW2058632499MaRDI QIDQ611304

Shiping Lu

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.08.005

zbMATH Keywords

periodic solutionhomoclinic solutiondifferential equation with delayextension of Mawhin's continuation theorem

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Boundary value problems for functional-differential equations (34K10)

Related Items (13)

Homoclinic solutions for a second-order singular differential equation ⋮ Homoclinic solutions for a class of prescribed mean curvature Liénard equations ⋮ Homoclinic solutions for \(n\)-dimensional prescribed mean curvature \(p\)-Laplacian equations ⋮ The existence of positive solutions for \(p\)-Laplacian boundary value problems at resonance ⋮ Homoclinic solutions for a kind of prescribed mean curvature Duffing-type equation ⋮ Periodic solutions for prescribed mean curvature Rayleigh equation with a deviating argument ⋮ Homoclinic solutions for a kind of neutral differential systems ⋮ Homoclinic solutions for \(n\)-dimensional \(p\)-Laplacian neutral differential systems with a time-varying delay ⋮ Homoclinic solutions for a class of neutral Duffing differential systems ⋮ Homoclinic solutions for Rayleigh type \(p\)-Laplacian equations with a deviating argument ⋮ Nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations ⋮ Homoclinic solutions for a class of relativistic Liénard equations ⋮ Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity

Cites Work

• Homoclinic solutions for ordinary \(p\)-Laplacian systems with a coercive potential
• Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
• Periodic solutions for a kind of Rayleigh equation with a deviating argument.
• On the existence of positive periodic solutions for neutral functional differential equation with multiple deviating arguments.
• Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument
• Periodic solutions for \(p\)-Laplacian Liénard equation with a deviating argument
• Periodic solutions to a second order \(p\)-Laplacian neutral functional differential system
• Homoclinic orbits and Hopf bifurcations in delay differential systems with T-B singularity
• 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 a class of second-order Hamiltonian systems
• Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential

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