Exponential dichotomy of difference equations and applications to evolution equations on the half-line
From MaRDI portal
Publication:1600375
DOI10.1016/S0898-1221(01)00155-9zbMath1016.39007MaRDI QIDQ1600375
Nguyen Van Minh, Nguyen Thieu Huy
Publication date: 13 June 2002
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
One-parameter semigroups and linear evolution equations (47D06) Geometry and structure of normed linear spaces (46B20) Discrete version of topics in analysis (39A12) Linear differential equations in abstract spaces (34G10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)
Related Items
Existence and robustness of exponential dichotomy of linear skew-product semiflows over semiflows ⋮ Admissibility and roughness of nonuniform exponential dichotomies for difference equations ⋮ Exponential splitting for nonautonomous linear discrete-time systems in Banach spaces ⋮ Hyers-Ulam stability and discrete dichotomy for difference periodic systems ⋮ Hölder shadowing on finite intervals ⋮ Admissibility and nonuniform exponential dichotomies for difference equations without bounded growth or Lyapunov norms ⋮ One admissible critical pair without Lyapunov norm implies a tempered exponential dichotomy for Met-systems ⋮ Discrete admissibility and exponential trichotomy of dynamical systems ⋮ Fine structure of the dichotomy spectrum ⋮ Hyers-Ulam stability and discrete dichotomy ⋮ An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators ⋮ New characterizations of exponential dichotomy and exponential stability of linear difference equations ⋮ Exponential dichotomy of difference equations in \(l_{p}\)-phase spaces on the half-line ⋮ On \((h,k)\)-dichotomies for nonautonomous linear difference equations in Banach spaces ⋮ Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line ⋮ On uniform exponential trisplitting of discrete skew-product semiflows ⋮ Exponential dichotomy and boundedness for retarded functional difference equations ⋮ On the asymptotic behavior of discrete dynamical systems -- an ergodic theory approach ⋮ Discrete and continuous versions of Barbashin-type theorem of linear skew-evolution semiflows ⋮ Shadowing for infinite dimensional dynamics and exponential trichotomies ⋮ Discretized characterizations of exponential dichotomy of linear skew-product semiflows over semiflows ⋮ On exponential dichotomy of variational difference equations ⋮ Hyers-Ulam stability for linear differences with time dependent and periodic coefficients: the case when the monodromy matrix has simple eigenvalues
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
- Evolution semigroups and spectral criteria for almost periodic solutions of periodic evolution equations
- Dichotomies for linear evolutionary equations in Banach spaces
- Evolution semigroups and sums of commuting operators: A new approach to the admissibility theory of function spaces
- Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
- The asymptotic behaviour of semigroups of linear operators
- Dichotomies for linear difference equations
- Linear differential equations with delays: Admissibility and conditional exponential stability
- The concept of spectral dichotomy for linear difference equations II
- Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
- Exponential dichotomy for solutions of discrete systems