The problem of a lazy tester, or exponential dichotomy for impulsive differential equations revisited

DOI10.1016/j.nahs.2008.04.002zbMath1217.34091OpenAlexW2028080837MaRDI QIDQ534405

Sergey Zhukovskiy, Elena Braverman

Publication date: 17 May 2011

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2008.04.002

zbMATH Keywords

exponential dichotomydelay equationsimpulsive perturbationdifferential equations in a Banach space

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Linear differential equations in abstract spaces (34G10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (9)

Variational approach to impulsive differential system ⋮ On stability of discrete dynamical systems: from global methods to ergodic theory approaches ⋮ Nonuniform input-output criteria for exponential expansiveness of discrete dynamical systems and applications ⋮ Admissibility criteria for nonuniform dichotomic behavior of nonautonomous systems on the whole line ⋮ Uniform exponential stability of first-order dynamic equations with several delays ⋮ Translation invariant spaces and asymptotic properties of variational equations ⋮ Integral conditions for exponential dichotomy: a nonlinear approach ⋮ A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions ⋮ An application of variational methods to Dirichlet boundary value problem with impulses

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