Nonlinear perturbations of nonuniform exponential dichotomy on measure chains

DOI10.1016/j.na.2011.09.001zbMath1243.37020OpenAlexW2024156002MaRDI QIDQ651140

Meng Fan, Xiaoyuan Chang, Ji-Min Zhang

Publication date: 8 December 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.2011.09.001

zbMATH Keywords

topological equivalencemeasure chainsstable invariant manifoldsnonuniform exponential dichotomies

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Invariant manifold theory for dynamical systems (37D10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Dynamic equations on time scales or measure chains (34N05)

Related Items

Bounded solutions and Hyers–Ulam stability of quasilinear dynamic equations on time scales ⋮ General exponential dichotomies on time scales and parameter dependence of roughness ⋮ A topological equivalence result for a family of nonlinear difference systems having generalized exponential dichotomy ⋮ Existence and uniqueness of solution for perturbed nonautonomous systems with nonuniform exponential dichotomy ⋮ NONLINEAR PERTURBATIONS FOR LINEAR NONAUTONOMOUS IMPULSIVE DIFFERENTIAL EQUATIONS AND NONUNIFORM (<i>H,K,µ,ν</i>)-DICHOTOMY

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