THE NEW METHOD FOR THE SEARCHING PERIODIC SOLUTIONS OF PERIODIC DIFFERENTIAL SYSTEMS

DOI10.11948/2016056zbMath1463.34158OpenAlexW2398684232MaRDI QIDQ5121350

V. I. Mironenko, V. V. Mironenko

Publication date: 14 September 2020

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

Full work available at URL: https://doi.org/10.11948/2016056

zbMATH Keywords

equivalenceperiodic solutiondifferential equationboundary value problemreflecting function

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonautonomous smooth dynamical systems (37C60)

Related Items (3)

Explicit calculation of the Poincaré map of a linear periodic system ⋮ Unnamed Item ⋮ Calculating the Poincaré map for two-dimensional periodic systems and Riccati equations

Cites Work

• 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
• 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
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