Exponential dichotomies of evolution operators in Banach spaces

DOI10.1007/S00605-013-0517-YzbMath1294.47059arXiv1003.5853OpenAlexW3102153137MaRDI QIDQ2249613

Mihail Megan, Nicolae Lupa

Publication date: 2 July 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5853

zbMATH Keywords

stabilityattractorsLyapunov functionsdichotomytrichotomyrepellers

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) One-parameter semigroups and linear evolution equations (47D06) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (14)

Integral conditions for nonuniform \(\mu\)-dichotomy on the half-line ⋮ Connections between some concepts of polynomial trichotomy for noninvertible evolution operators in Banach spaces ⋮ Nonuniform \((h,k,\mu,\nu)\)-dichotomy with applications to nonautonomous dynamical systems ⋮ Nonuniform polynomial dichotomy for noninvertible linear discrete-time systems in Banach spaces ⋮ \((h,k)\)-dichotomy and Lyapunov type norms ⋮ On uniform \(h\)-dichotomy of skew-evolution cocycles in Banach spaces ⋮ On uniform exponential splitting for noninvertible evolution operators in Banach spaces ⋮ Admissible Banach function spaces and nonuniform stabilities ⋮ Generalized exponential trichotomies for abstract evolution operators on the real line ⋮ NONLINEAR PERTURBATIONS FOR LINEAR NONAUTONOMOUS IMPULSIVE DIFFERENTIAL EQUATIONS AND NONUNIFORM (<i>H,K,µ,ν</i>)-DICHOTOMY ⋮ Pseudo affine-periodic solutions for delay differential systems ⋮ Topological classification and structural stability of strongly continuous groups ⋮ Admissibility and generalized nonuniform dichotomies for discrete dynamics ⋮ Robustness for linear evolution equations with non-instantaneous impulsive effects

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