Bounds for the period of periodic orbits of dynamical systems

DOI10.1016/0022-0396(87)90132-XzbMath0616.34041MaRDI QIDQ1821248

Stavros N. Busenberg, Mario Martelli

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Banach spacesHilbert spaceSchauder conjectureEuler difference equationautonomous first order differential equationLipschitz dynamical systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems and ergodic theory (37-XX)

Related Items

Soluzioni periodiche di sistemi Lipschitziani e applicazioni ⋮ Periodic solutions to perturbed nonlinear oscillators with memory ⋮ Bounds for the periods of periodic solutions of ordinary differential equations ⋮ Minimal periods for ordinary differential equations in strictly convex Banach spaces and explicit bounds for some \(L^p\)-spaces ⋮ If \(f\) has Lipschitz constant less than 2.17008, then \(x_{i+1}=x_ i+f(x_ i)\) has no odd periodic solutions ⋮ Geometric inequalities in normed spaces ⋮ Strict bounds for the period of periodic orbits of difference equations ⋮ Cyclic inequalities and discrete fourier analysis

Cites Work

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• Discrete analogs of inequalities of Wirtinger
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• Periods of Periodic Solutions and the Lipschitz Constant
• Some Asymptotic Fixed Point Theorems