A homotopy method of finding periodic solutions for ordinary differential equations from the upper and lower solutions

DOI10.1016/0362-546X(94)00129-6zbMath0828.65079OpenAlexW2043429227MaRDI QIDQ4839233

Xiguan Lu, Yi Su, Yong Li

Publication date: 21 August 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00129-6

zbMATH Keywords

numerical examplesupper and lower solutionsperiodic solutionhomotopy methodsystemfirst-order differential equationspredictor- corrector method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

Rotating periodic solutions for second order systems with Hartman-type nonlinearity ⋮ Existence of solutions for some nonlinear problems with \(p\)-Laplacian like operators ⋮ Periodic solutions of differential-algebraic equations

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