Existence and uniqueness of positive periodic solutions for Rayleigh type \(p\)-Laplacian equation

DOI10.1016/j.nonrwa.2008.01.010zbMath1162.34302OpenAlexW2043790235MaRDI QIDQ1015047

Wanmin Xiong, Jianying Shao

Publication date: 7 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.01.010

zbMATH Keywords

\(p\)-Laplaciancoincidence degreepositive periodic solutionRayleigh equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items

ON THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTION FOR RAYLEIGH TYPE p-LAPLACIAN EQUATION, Homoclinic solutions for Rayleigh type \(p\)-Laplacian equations with a deviating argument, Existence and uniqueness of a positive periodic solution for Rayleigh type \(\phi\)-Laplacian equation, Existence and uniqueness of periodic solution for prescribed mean curvature Rayleigh type \(p\)-Laplacian equation

Cites Work

• On the existence of periodic solutions to \(p\)-Laplacian Rayleigh differential equation with a delay
• New results of periodic solutions for forced Rayleigh-type equations
• Periodic solutions for a Rayleigh type equation with a variable coefficient ahead of the nonlinear term
• Coincidence degree, and nonlinear differential equations
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• A priori bounds for periodic solutions of a delay Rayleigh equation
• Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument
• On existence of periodic solutions of the Rayleigh equation of retarded type
• Periodic solutions for Rayleigh type \(p\)-Laplacian equation with deviating arguments