Analytical and approximate solutions to autonomous, nonlinear, third-order ordinary differential equations

DOI10.1016/j.nonrwa.2009.03.023zbMath1201.34014OpenAlexW2022735947MaRDI QIDQ974576

Juan I. Ramos

Publication date: 3 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.03.023

zbMATH Keywords

exact solutioniterative techniqueGalerkin approximationthird-order nonlinear ordinary differential equationsLinstedt-Poincaré method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34)

Related Items (9)

Global residue harmonic balance method to periodic solutions of a class of strongly nonlinear oscillators ⋮ Positive solutions of a third-order BVP independent of the sign of the Green's function ⋮ Comparison of two iteration procedures for a class of nonlinear jerk equations ⋮ Dynamics of two models of driven extended jerk oscillators: chaotic pulse generations and application in engineering ⋮ Approximate periodic solutions for oscillatory phenomena modelled by nonlinear differential equations ⋮ On two classes of autonomous third-order nonlinear ordinary differential equations ⋮ Comparison of different approaches to construct first integrals for ordinary differential equations ⋮ First integrals and solutions for a class of third-order nonlinear autonomous differential equations ⋮ Numerical solution of third order linear differential equations using generalized one-shot operational matrices in orthogonal hybrid function domain

Cites Work

• Perturbation method for periodic solutions of nonlinear jerk equations
• On the stability and boundedness of solutions of nonlinear vector differential equations of third order
• Stability and boundedness results for solutions of certain third order nonlinear vector differential equations
• Non-linear oscillations of a third-order differential equation
• Harmonic balance approach to periodic solutions of non-linear jerk equations
• Harmonic balance approach to limit cycles for nonlinear jerk equations
• A Property of the Phase-Space Trajectories of a Third Order Non-Linear Differential Equation
• A Note on a Boundedness Theorem for Some Third Order Differential Equations
• On the study of a third-order mechanical oscillator
• APERIODIC BEHAVIOUR OF A NON-LINEAR OSCILLATOR
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Analytical and approximate solutions to autonomous, nonlinear, third-order ordinary differential equations