ON THE EQUIVALENCE OF TWO DIFFERENTIAL EQUATIONS BY MEANS OF REFLECTING FUNCTIONS COINCIDING

DOI10.11948/2018.549zbMath1459.34113OpenAlexW2783499111MaRDI QIDQ5147899

Yuexin Yan, Zhengxin Zhou

Publication date: 29 January 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2018.549

zbMATH Keywords

equivalencequalitative behaviorreflecting functionreflecting integral\( \mu \)-integral

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonautonomous smooth dynamical systems (37C60) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (1)

Asymptotic proximity to higher order nonlinear differential equations

Cites Work

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• On the construction of first-order polynomial differential equations equivalent to a given equation in the sense of having the same reflective function
• Time symmetries and in-period transformations
• Quadratic systems with a linear reflecting function
• Differential systems, the mapping over period for which is represented by a product of three exponential matrices
• Time symmetry preserving perturbations of systems, and Poincaré mappings
• How to construct equivalent differential systems
• On the structure of the equivalent differential systems and their reflecting integrals
• On quadratic differential systems with equal reflecting functions
• Time symmetry preserving perturbations of differential systems
• On the symmetry and periodicity of solutions of differential systems
• A reflecting function of a family of functions

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