On two classes of autonomous third-order nonlinear ordinary differential equations

DOI10.1016/J.AMC.2011.07.013zbMath1232.34020OpenAlexW1972539793MaRDI QIDQ654678

C. M. García-López, Juan I. Ramos

Publication date: 29 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.013

zbMATH Keywords

periodic solutionsartificial parameterautonomous equationsthird-order nonlinear ordinary differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• Damped nonlinear oscillations modeled by a 3-dimensional differential system
• Approximate methods based on order reduction for the periodic solutions of nonlinear third-order ordinary differential equations
• Analytical and approximate solutions to autonomous, nonlinear, third-order ordinary differential equations
• A Volterra integral formulation for determining the periodic solutions of some autonomous, nonlinear, third-order ordinary differential equations
• A unified Krylov-Bogoliubov-Mitropolskii method for solving third-order nonlinear systems
• Ultraspherical polynomials approach to the study of third-order non-linear systems
• Study of third-order non-linear systems—Variation of parameters approach
• Vibrations of a system with memory, non-linear elasticity, friction and relaxation
• Introduction to Non-Linear Mechanics. (AM-11)
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