Necessary and sufficient criteria for the existence of exponential dichotomy on time scales

DOI10.1016/J.CAMWA.2010.08.034zbMath1205.34138OpenAlexW2036328534MaRDI QIDQ623183

Meng Fan, Huai-Ping Zhu, Ji-Min Zhang

Publication date: 13 February 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.034

zbMATH Keywords

time scalesroughnessexponential dichotomydynamic equationsnecessary and sufficient criteria

Mathematics Subject Classification ID

Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Dynamic equations on time scales or measure chains (34N05)

Related Items (7)

Bounded solutions and Hyers–Ulam stability of quasilinear dynamic equations on time scales ⋮ Exponential splitting for nonautonomous linear discrete-time systems in Banach spaces ⋮ General exponential dichotomies on time scales and parameter dependence of roughness ⋮ Is the Sacker–Sell type spectrum equal to the contractible set? ⋮ Existence and roughness of nonuniform exponential dichotomies on time scales ⋮ Exponential dichotomy on time scales and admissibility of the pair \((\mathrm{C}_{\mathrm{rd}}^{b}(\mathbb{T}^{+}, X),L^{p}(\mathbb{T}^{+},X))\) ⋮ Almost periodic solutions for second order dynamic equations on time scales

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