Exponential dichotomy of linear impulsive differential equations in a Banach space

DOI10.1007/BF00669823zbMath0698.34042MaRDI QIDQ912269

D. D. Bainov, Stepan Kostadinov, Peter P. Zabreĭko

Publication date: 1989

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

exponential dichotomy

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (14)

Kinematical similarity and exponential dichotomy of linear abstract impulsive differential equations ⋮ Nonlinear impulsive differential equations with weighted exponential or ordinary dichotomous linear part in a Banach space ⋮ Topological equivalence and exponential dichotomy of linear impulsive equations ⋮ Existence of exponential dichotomy of a class of impulsive differential equations ⋮ Boundedness and stability of impulsively perturbed systems in a Banach space ⋮ Topological classification of impulsive differential equations ⋮ On the exponential dichotomy of pulse evolution systems ⋮ L_p-equivalence of a linear and a nonlinear impulsive differential equation in a Banach space ⋮ Asymptotic equivalence of abstract impulsive differential equations ⋮ Invariant manifolds for impulsive equations and nonuniform polynomial dichotomies ⋮ Integral manifolds of a general model of evolutionary processes with impulse effect ⋮ Solvability and stability of impulsive set dynamic equations on time scales ⋮ Existence of solutions of nonlinear impulsive differential equations with exponentially dichotomous or dichotomous linear part ⋮ Exponential dichotomies of evolution operators in Banach spaces

Cites Work

• Exponential trichotomy of differential systems
• A characterization of exponential dichotomy in terms of topological equivalence
• Unnamed Item

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