Nonlinear criteria for the existence of the exponential trichotomy in infinite dimensional spaces
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Publication:549948
DOI10.1016/J.NA.2011.05.004zbMath1231.37013OpenAlexW2075435237MaRDI QIDQ549948
Bogdan Sasu, Adina Luminiţa Sasu
Publication date: 19 July 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.05.004
Integral methods for summability (40C10) Dynamics induced by flows and semiflows (37C10) Systems of nonlinear integral equations (45G15) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)
Related Items (10)
A Zabczyk type method for the study of the exponential trichotomy of discrete dynamical systems ⋮ Admissibility and exponential trichotomy of dynamical systems described by skew-product flows ⋮ Admissible Banach function spaces and nonuniform stabilities ⋮ Input-output criteria for the trichotomic behaviors of discrete dynamical systems ⋮ Generalized exponential trichotomies for abstract evolution operators on the real line ⋮ Nonuniform exponential trichotomy for linear discrete-time systems in Banach spaces ⋮ The equivalence of Datko and Lyapunov properties for \((h, k)\)-trichotomic linear discrete-time systems ⋮ Lyapunov type equation for discrete exponential trichotomies ⋮ Existence and roughness of nonuniform \((h,k,\mu,\nu)\)-trichotomy for nonautonomous differential equations ⋮ On nonuniform polynomial trichotomy of linear discrete-time systems in Banach spaces
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