Admissibility and roughness of nonuniform exponential dichotomies for difference equations
From MaRDI portal
Publication:2630790
DOI10.1016/j.jfa.2016.06.005zbMath1383.39003OpenAlexW2424051343MaRDI QIDQ2630790
Publication date: 22 July 2016
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2016.06.005
Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Linear difference equations (39A06)
Related Items (21)
On stability of discrete dynamical systems: from global methods to ergodic theory approaches ⋮ Admissibility and nonuniform exponential dichotomies ⋮ Nonuniform input-output criteria for exponential expansiveness of discrete dynamical systems and applications ⋮ Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian ⋮ Nonuniform \((h,k,\mu,\nu)\)-dichotomy with applications to nonautonomous dynamical systems ⋮ Topological equivalence of nonautonomous difference equations with a family of dichotomies on the half line ⋮ Admissibility criteria for nonuniform dichotomic behavior of nonautonomous systems on the whole line ⋮ Admissibility and nonuniform exponential dichotomies for difference equations without bounded growth or Lyapunov norms ⋮ On uniform logarithmic dichotomy of discrete skew-evolution semiflows ⋮ Measurable weighted shadowing for random dynamical systems on Banach spaces ⋮ Input-output criteria for the trichotomic behaviors of discrete dynamical systems ⋮ New class of perturbations for nonuniform exponential dichotomy roughness ⋮ On the robustness property of nonuniform exponential dichotomies ⋮ Robustness of nonuniform mean-square exponential dichotomies ⋮ One admissible critical pair without Lyapunov norm implies a tempered exponential dichotomy for Met-systems ⋮ Input-output criteria for stability and expansiveness of dynamical systems ⋮ On the asymptotic behavior of discrete dynamical systems -- an ergodic theory approach ⋮ Strong exponential dichotomy of discrete nonautonomous systems: input-output criteria and strong dichotomy radius ⋮ Admissibility and polynomial dichotomies for evolution families ⋮ Quaternionic exponentially dichotomous operators through \(S\)-spectral splitting and applications to Cauchy problem ⋮ Exponential dichotomy for noninvertible linear difference equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Continuous and discrete dynamics near manifolds of equilibria
- Exponential dichotomy and \((\ell^p,\ell^q)\)-admissibility on the half-line
- A discrete Perron--Ta Li type theorem for the dichotomy of evolution operators
- Exponential dichotomy and dichotomy radius for difference equations
- Nonuniform behavior and robustness
- Robustness of discrete dynamics via Lyapunov sequences
- Exponential dichotomies and homoclinic orbits in functional differential equations
- Exact bounds for exponential dichotomy roughness. I: Strong dichotomy
- On the relationship between exponential dichotomies and the Fredholm alternative
- Geometric theory of semilinear parabolic equations
- A spectral theory for linear differential systems
- Dichotomies in stability theory
- Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces
- Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
- Robustness of exponential dichotomies in infinite-dimensional dynamical systems
- Exponential dichotomy of difference equations and applications to evolution equations on the half-line
- Fredholm differential operators with unbounded coefficients
- Exponential dichotomies and transversal homoclinic points
- Discrete admissibility and exponential dichotomy for evolution families
- On uniformity of exponential dichotomies for delay equations
- \((L^p,L^q)\)-admissibility and exponential dichotomy of evolutionary processes on the half-line
- Roughness of \((h,k)\)-dichotomies
- The Fredholm alternative and exponential dichotomies for parabolic equation
- Evolution equations: Dichotomies and the Fredholm alternative for bounded solutions
- Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
- Unbounded perturbation of the exponential dichotomy for evolution equations
- Stability of nonautonomous differential equations
- A Grobman--Hartman theorem for nonuniformly hyperbolic dynamics
- Linear differential equations and functional analysis. I
- Dichotomies for linear difference equations
- Exponential Dichotomies and Fredholm Operators
- ON ${\bf (a,b)}$ -DICHOTOMY FOR EVOLUTIONARY PROCESSES ON A HALF-LINE
- Bounded solutions for non-autonomous parabolic equations
- Exponential dichotomies with respect to a sequence of norms and admissibility
This page was built for publication: Admissibility and roughness of nonuniform exponential dichotomies for difference equations
