Asymptotic equivalence of abstract impulsive differential equations

DOI10.1007/BF02083822zbMath0843.34051OpenAlexW1968149425MaRDI QIDQ1912255

A. D. Myshkis, D. D. Bainov, Stepan Kostadinov

Publication date: 21 August 1996

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

Full work available at URL: https://doi.org/10.1007/bf02083822

zbMATH Keywords

\((h,k)\)-dichotomyasymptotic equivalencelinear impulsive differential equationperturbed nonlinear equation

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Perturbations of ordinary differential equations (34D10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (10)

Stability properties of solutions of impulsive parabolic differential-functional equations ⋮ Electromagnetic interpretation of the massless spin-1 field equation in curved space-time ⋮ Separation of the massless field equations for arbitrary spin in the Robertson–Walker space–time ⋮ Approximate controllability of nonlinear stochastic impulsive integrodifferential systems in Hilbert spaces ⋮ Asymptotic equivalence of impulsive dynamic equations on time scales ⋮ Existence of solutions for nonlocal impulsive partial functional integrodifferential equations via fractional operators ⋮ Dynamical equivalence of impulsive differential equations ⋮ Approximate controllability of nonlinear impulsive differential systems ⋮ Integral manifolds of singularly perturbed impulsive differential equations ⋮ Integral manifolds of impulsive differential equations defined on torus

Cites Work

• Bounded and periodic solutions of differential equations with impulse effect in a Banach space
• Asymptotic equivalence of impulsive differential equations in a Banach space
• Exponential dichotomy of linear impulsive differential equations in a Banach space
• Stability of the general exponent of nonlinear impulsive differential equations in a Banach space
• Characteristic exponents of impulsive differential equations in a Banach space
• \(L_ p\)-equivalence of impulsive equations
• Existence of solutions of nonlinear impulsive differential equations with exponentially dichotomous or dichotomous linear part
• Dichotomies in stability theory
• Existence of integral manifolds for impulsiv differential equations in a Banach space
• Dichotomies and asymptotic solutions of nonlinear differential systems
• Dichotomies and Asymptotic Behaviour for Linear Differential Systems
• Properties of the \(L_ p\)-solutions of linear impulsive equations in a Banach space
• Unnamed Item

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