Existence and uniqueness of periodic solutions for a \(p\)-Laplacian Duffing equation with a deviating argument

DOI10.1016/j.na.2008.07.014zbMath1173.34341OpenAlexW2036620766MaRDI QIDQ1012070

Shiping Lu, Fabao Gao, Wei Zhang

Publication date: 14 April 2009

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.2008.07.014

zbMATH Keywords

periodic solutionscoincidence degreecontinuation theoremone-dimensional \(p\)-Laplacianmodified argument

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13)

Related Items (5)

Periodic solutions for Duffing type \(p\)-Laplacian equation with multiple constant delays ⋮ Coupled fixed points of multivalued operators and first-order ODEs with state-dependent deviating arguments ⋮ Nontrivial periodic solutions of an \(n\)-dimensional differential system and its application ⋮ New result of existence of periodic solutions for a generalized p-Laplacian Liénard type differential equation with a variable delay ⋮ New results on the existence of periodic solutions for a higher-order Li é nard type p -Laplacian differential equation

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
• Periodic solutions for \(p\)-Laplacian Rayleigh equations with a deviating argument
• Ordinary differential equations with nonlinear boundary conditions
• Periodic solutions for \(p\)-Laplacian Liénard equation with a deviating argument
• Existence and uniqueness of periodic solutions for a kind of Liénard equation with two deviating arguments
• New results on the existence of periodic solutions to a \(p\)-Laplacian differential equation with a deviating argument
• Periodic solutions for Rayleigh type \(p\)-Laplacian equation with deviating arguments
• Existence of periodic solutions to a \(p\)-Laplacian Liénard differential equation with a deviating argument
• Periodic solutions for Liénard type \(p\)-Laplacian equation with a deviating argument
• 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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