Minimal Periods of Discrete and Smooth Orbits

DOI10.2307/2323249zbMath0672.34034OpenAlexW2332168360MaRDI QIDQ3825367

David C. Fisher, Stavros N. Busenberg, Mario Martelli

Publication date: 1989

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2323249

zbMATH Keywords

Banach spaceautonomous differential systemEuler's method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Linear differential equations in abstract spaces (34G10)

Related Items (14)

Sharp estimates for the periods and amplitudes of periodic solutions to differential equations with delay ⋮ Soluzioni periodiche di sistemi Lipschitziani e applicazioni ⋮ Minimal period and maximal Lyapunov exponent of solutions to Lipschitzian differential equations ⋮ Minimal periods of semilinear evolution equations with Lipschitz nonlinearity revisited ⋮ A symmetry theorem for ordinary differential equations ⋮ Minimal periods for ordinary differential equations in strictly convex Banach spaces and explicit bounds for some \(L^p\)-spaces ⋮ Minimal periods of solutions to higher-order functional differential equations ⋮ Geometric inequalities in normed spaces ⋮ Minimal periods of solutions of Lipschitzian differential equations in a vector space with an arbitrary norm ⋮ Sharp estimates for the amplitudes of periodic solutions to Lipschitz differential equations ⋮ A symmetry theorem for variational problems ⋮ Minimal periods of periodic solutions of some Lipschitzian differential equations ⋮ The least distance between extrema and the minimum period of solutions of autonomous vector differential equations ⋮ Strict bounds for the period of periodic orbits of difference equations

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