Exponential trichotomy and \(p\)-admissibility for evolution families on the real line
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Publication:851010
DOI10.1007/s00209-005-0920-8zbMath1108.34047OpenAlexW2095142900MaRDI QIDQ851010
Bogdan Sasu, Adina Luminiţa Sasu
Publication date: 9 November 2006
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-005-0920-8
Linear differential equations in abstract spaces (34G10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)
Related Items (22)
Exponential trichotomy and \((r, p)\)-admissibility for discrete dynamical systems ⋮ A Zabczyk type method for the study of the exponential trichotomy of discrete dynamical systems ⋮ Admissibility and nonuniform exponential dichotomies ⋮ Uniform dichotomy and exponential dichotomy of evolution families on the half-line ⋮ New criteria for exponential expansiveness of variational difference equations ⋮ Admissibility criteria for nonuniform dichotomic behavior of nonautonomous systems on the whole line ⋮ Admissibility and nonuniform exponential dichotomy on the half-line ⋮ Admissibility and exponential trichotomy of dynamical systems described by skew-product flows ⋮ Discrete admissibility and exponential trichotomy of dynamical systems ⋮ Generalized exponential trichotomies for abstract evolution operators on the real line ⋮ Lyapunov function and exponential trichotomy on time scales ⋮ Robust stability and stability radius for variational control systems ⋮ Existence and roughness of nonuniform \((h,k,\mu,\nu)\)-trichotomy for nonautonomous differential equations ⋮ Pairs of function spaces and exponential dichotomy on the real line ⋮ Input-output admissibility and exponential trichotomy of difference equations ⋮ Integral conditions for exponential dichotomy: a nonlinear approach ⋮ Nonlinear criteria for the existence of the exponential trichotomy in infinite dimensional spaces ⋮ Exponential dichotomy for evolution families on the real line ⋮ Integral equations, dichotomy of evolution families on the half-line and applications ⋮ Exponential dichotomy on time scales and admissibility of the pair \((\mathrm{C}_{\mathrm{rd}}^{b}(\mathbb{T}^{+}, X),L^{p}(\mathbb{T}^{+},X))\) ⋮ Admissibility and polynomial dichotomies for evolution families ⋮ Exponential trichotomy for variational difference equations
Cites Work
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- Exponential dichotomy and trichotomy of nonlinear differential equations
- Exponential dichotomy and \((\ell^p,\ell^q)\)-admissibility on the half-line
- Semigroups of linear operators and applications to partial differential equations
- Exponential trichotomy of differential systems
- Invertibility and dichotomy of differential operators on a half-line
- Existence of dichotomies and invariant splittings for linear differential systems. III
- 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
- Dichotomies for linear evolutionary equations in Banach spaces
- Perron conditions for pointwise and global exponential dichotomy of linear skew-product flows
- On nonuniform exponential dichotomy of evolution operators in Banach spaces.
- The Fredholm alternative and exponential dichotomies for parabolic equation
- Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
- Dichotomy of differential equations on Banach spaces and an algebra of weighted translation operators
- Exponential dichotomy on the real line and admissibility of function spaces
- Exponential Dichotomies and Fredholm Operators
- Two definitions of exponential dichotomy for skew-product semiflow in Banach spaces
- Dichotomy spectrum for nonautonomous differential equations
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