Existence of a class of ergodic solutions implies exponential trichotomy

DOI10.1016/S0893-9659(99)00031-2zbMath0941.34041MaRDI QIDQ1808510

Jialin Hong, Rafael Obaya, Ana M. Sanz

Publication date: 25 November 1999

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

zbMATH Keywords

exponential trichotomyergodic solutionsergodic perturbationslinear differential and difference equations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Ordinary differential equations and systems with randomness (34F05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

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A Zabczyk type method for the study of the exponential trichotomy of discrete dynamical systems ⋮ Nonuniform exponential trichotomy for linear discrete-time systems in Banach spaces ⋮ Asymptotically almost periodic solutions for a class of stochastic functional differential equations ⋮ Lyapunov function and exponential trichotomy on time scales ⋮ A class of ergodic solutions of nonlinear differential equations and numerical treatment

Cites Work

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• Unnamed Item