Exponential trichotomy and a class of ergodic solutions of differential equations with ergodic perturbations
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Publication:1809034
DOI10.1016/S0893-9659(98)00118-9zbMath0935.34044MaRDI QIDQ1809034
Jialin Hong, A. S. Gil, Rafael Obaya
Publication date: 25 April 2000
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Perturbations of ordinary differential equations (34D10) Ordinary differential equations and systems with randomness (34F05) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)
Related Items (9)
Almost periodic (type) solutions to parabolic Cauchy inverse problems ⋮ Generalized exponential trichotomies for abstract evolution operators on the real line ⋮ Nonuniform exponential trichotomy for linear discrete-time systems in Banach spaces ⋮ Lyapunov function and exponential trichotomy on time scales ⋮ Existence of pseudo-almost automorphic solutions for nonlinear differential equations ⋮ Pseudo almost periodic solutions to parabolic boundary value inverse problems ⋮ Existence of a class of ergodic solutions implies exponential trichotomy ⋮ Ergodic solutions via ergodic sequences ⋮ A class of ergodic solutions of nonlinear differential equations and numerical treatment
Cites Work
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- Exponential trichotomy of differential systems
- Dichotomies and Lyapunov functions
- Dichotomies in stability theory
- Pseudo almost periodic solutions of some differential equations
- New Almost Periodic Type Functions and Solutions of Differential Equations
- Integration of Vector-Valued Pseudo-Almost Periodic Functions
- Exponential dichotomy and existence of pseudo almost-periodic solutions of some differential equations
- Pseudo almost periodic solutions for some differential equations in a banach space
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