Existence of periodic solutions for a prescribed mean curvature Liénard \(p\)-Laplacian equation with two delays

DOI10.1186/1687-1847-2014-290zbMath1348.35084OpenAlexW2167663221WikidataQ59324469 ScholiaQ59324469MaRDI QIDQ307333

Zhiyan Li, Weigao Ge, Tianqing An

Publication date: 1 September 2016

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-290

zbMATH Keywords

periodic solutionMawhin's continuation theoremLiénard type \(p\)-Laplacian equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (3)

Homoclinic solutions for \(n\)-dimensional prescribed mean curvature \(p\)-Laplacian equations ⋮ New approach for the existence and uniqueness of periodic solutions to \(p\)-Laplacian prescribed mean curvature equations ⋮ Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh \(p\)-Laplacian equations

Cites Work

• Periodic solutions for prescribed mean curvature Liénard equation with a deviating argument
• Exact number of solutions of a one-dimensional prescribed mean curvature equation with concave-convex nonlinearities
• Time maps and exact multiplicity results for one-dimensional prescribed mean curvature equations. II
• On the existence of periodic solutions for \(p\)-Laplacian generalized Liénard equation
• Existence and uniqueness of periodic solution for prescribed mean curvature Rayleigh type \(p\)-Laplacian equation
• Exact number of solutions of a prescribed mean curvature equation
• The existence and uniqueness of periodic solutions for a kind of Duffing-type equation with two deviating arguments
• Coincidence degree, and nonlinear differential equations
• Periodic solutions for a kind of Liénard equation with a deviating argument.
• Periodic solutions for \(p\)-Laplacian Liénard equation with a deviating argument
• Periodic solutions for a prescribed mean curvature equation with multiple delays

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