Minimal periods of periodic solutions of some Lipschitzian differential equations

DOI10.1016/j.aml.2009.03.024zbMath1171.34343OpenAlexW2000165855MaRDI QIDQ735121

Alexandr A. Zevin, Mark A. Pinsky

Publication date: 14 October 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.03.024

zbMATH Keywords

periodic solutiondifferential equationLipschitz conditionsupremum normdelay functionbound for period

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13)

Related Items (5)

Bounds for the periods of periodic solutions of ordinary differential equations ⋮ Minimal periods of solutions to higher-order functional differential equations ⋮ Solvability of the periodic problem for higher-order linear functional differential equations ⋮ Minimal periods of solutions of Lipschitzian differential equations in a vector space with an arbitrary norm ⋮ Infinitely many periodic solutions to delay differential equations via critical point theory

Cites Work

• Unnamed Item
• Unnamed Item
• Sharp estimates for the amplitudes of periodic solutions to Lipschitz differential equations
• A general symmetry principle and some implications
• Sharp estimates for the periods and amplitudes of periodic solutions to differential equations with delay
• Bounds for periodic solutions of differential equations in Banach spaces
• Minimal Periods of Discrete and Smooth Orbits
• On minimal periods of functional-differential equations and difference inclusions
• Periods of Periodic Solutions and the Lipschitz Constant

This page was built for publication: Minimal periods of periodic solutions of some Lipschitzian differential equations