Periodic solutions of some fourth-order nonlinear differential equations

DOI10.1016/J.CAM.2009.07.003zbMath1189.34074OpenAlexW1992745081MaRDI QIDQ5895102

Jinglei Zhou, Qiyi Fan, Wentao Wang

Publication date: 9 October 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.07.003

zbMATH Keywords

existenceperiodic solutionsMawhin's continuation theoremfourth-order nonlinear differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20) Differential inequalities involving functions of a single real variable (34A40)

Related Items (5)

ANTI-PERIODIC SOLUTIONS FOR A CLASS OF 2nTH-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DELAYS ⋮ Existence and uniqueness of periodic solutions of second-order nonlinear differential equations ⋮ On higher order fully periodic boundary value problems ⋮ Solvability and dependence on a parameter of a fourth-order periodic boundary value problem ⋮ Nontrivial solutions of a fully fourth-order periodic boundary value problem

Cites Work

• Unnamed Item
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• Oscillating solutions of a nonlinear fourth order ordinary differential equation
• Existence and multiplicity of solutions to \(2m\)th-order ordinary differential equations
• Periodic solutions for a fourth-order \(p\)-Laplacian differential equation with a deviating argument
• A continuation approach to fourth order superlinear periodic boundary value problems
• Periodic solutions of some vector retarded functional differential equations
• Periodic solutions for extended Fisher-Kolmogorov and Swift-Hohenberg equations by truncature techniques
• Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem
• Asymptotic Conditions for Periodic Solutions of Ordinary Differential Equations
• Spatial Patterns Described by the Extended Fisher--Kolmogorov Equation: Periodic Solutions
• Periodic and homoclinic solutions of extended Fisher-Kolmogorov equations

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