Existence and robustness of nonuniform \((h,k,\mu ,\nu )\)-dichotomies for nonautonomous impulsive differential equations

DOI10.1016/J.JMAA.2012.12.007zbMath1272.34069OpenAlexW1978403030MaRDI QIDQ1941125

Xiaoyuan Chang, Jinliang Wang, Ji-Min Zhang

Publication date: 11 March 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.12.007

zbMATH Keywords

robustnessLyapunov exponentsnonuniform \((h,k,\mu ,\nu )\)-dichotomy

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (5)

Stable invariant manifolds with impulses and growth rates ⋮ Admissibility criteria for nonuniform dichotomic behavior of nonautonomous systems on the whole line ⋮ On stability for generalized linear differential equations and applications to impulsive systems ⋮ NONLINEAR PERTURBATIONS FOR LINEAR NONAUTONOMOUS IMPULSIVE DIFFERENTIAL EQUATIONS AND NONUNIFORM (<i>H,K,µ,ν</i>)-DICHOTOMY ⋮ On \((h,k)\)-dichotomies for nonautonomous linear difference equations in Banach spaces

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