A Volterra integral formulation for determining the periodic solutions of some autonomous, nonlinear, third-order ordinary differential equations

DOI10.1016/j.amc.2010.03.108zbMath1197.34044OpenAlexW1988036930MaRDI QIDQ984278

C. M. García-López, Juan I. Ramos

Publication date: 19 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.108

zbMATH Keywords

periodic solutionsvariation of parametersVolterra's integral equationthird-order nonlinear ordinary differential equationstransformation of independent variables

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (3)

Comparison of two iteration procedures for a class of nonlinear jerk equations ⋮ Periodic orbits of the fourth-order non-autonomous differential equation \(u'+qu+pu=\varepsilon F(t,u,u',u,u)\) ⋮ On two classes of autonomous third-order nonlinear ordinary differential equations

Uses Software

• Mathematica

Cites Work

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• Harmonic balance approach to periodic solutions of non-linear jerk equations
• Harmonic balance approach to limit cycles for nonlinear jerk equations
• Ultraspherical polynomials approach to the study of third-order non-linear systems
• Study of third-order non-linear systems—Variation of parameters approach
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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