Existence of periodic solutions for a Liénard type \(p\)-Laplacian differential equation with a deviating argument

DOI10.1016/j.na.2007.11.029zbMath1159.34049OpenAlexW2018739069WikidataQ115343213 ScholiaQ115343213MaRDI QIDQ960233

Fabao Gao, Shiping Lu

Publication date: 16 December 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.11.029

zbMATH Keywords

periodic solutions\(p\)-LaplacianMawhin's continuation theorem

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Periodic solutions to functional-differential equations (34K13)

Related Items (9)

Multiple positive periodic solutions for second-order differential equations with a singularity ⋮ Periodic solutions for a fourth-order \(p\)-Laplacian neutral functional differential equation ⋮ Periodic solutions for a \(p\)-Laplacian-like NFDE system ⋮ Periodic solutions for a Rayleigh type p-Laplacian equation with sign-variable coefficient of nonlinear term ⋮ A NOTE ON PERIODIC SOLUTIONS OF A FORCED LIÉNARD-TYPE EQUATION ⋮ Positive periodic solution of \(p\)-Laplacian Liénard type differential equation with singularity and deviating argument ⋮ Periodic solutions for a higher order \(p\)-Laplacian neutral functional differential equation with a deviating argument ⋮ New result of existence of periodic solutions for a generalized p-Laplacian Liénard type differential equation with a variable delay ⋮ Periodic solutions for \(n\)-dimensional generalized Liénard type \(p\)-Laplacian functional differential system

Cites Work

• On the existence of periodic solutions for \(p\)-Laplacian generalized Liénard equation
• On the existence of periodic solutions to \(p\)-Laplacian Rayleigh differential equation with a delay
• Periodic solutions for \(p\)-Laplacian Rayleigh equations
• Ordinary differential equations with nonlinear boundary conditions
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Periodic solutions for \(p\)-Laplacian Liénard equation with a deviating argument
• Periodic solutions for Rayleigh type \(p\)-Laplacian equation with deviating arguments
• Sufficient conditions for the existence of periodic solutions to some second order differential equations with a deviating argument
• Nonuniform nonresonance at the first eigenvalue of the p-laplacian

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