On minimal periods of solutions of higher order functional differential equations

2013/03/10 by E. Bravyi, Bravyi, E.
Mathematics · #34K06 #34K10 #34K13 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Differential Equations Analysis #math.CA #msc:34K06 #msc:34K10 #msc:34K13

paper · pdf · doi:10.48550/arxiv.1303.2297

openalex publication_date 2013/03/10 · arxiv created 2013/05/03 · arxiv updated 2013/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that a problem on minimal periods of solutions of Lipschitz functional differential equations is closely related to the unique solvability of the periodic problem for linear functional differential equations. Sharp bounds for minimal periods of non-constant solutions of higher order functional differential equations with different Lipschitz nonlinearities are obtained.

Citations

• Minimal Periods for Ordinary Differential Equations in Strictly Convex Banach Spaces and Explicit Bounds for some l^p-Spaces

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