Some modern aspects of the theory of impulsive differential equations

DOI10.1007/s11253-008-0044-5zbMath1164.34300OpenAlexW2094142124MaRDI QIDQ3607305

O. S. Chernikova, M. O. Perestyuk

Publication date: 28 February 2009

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-008-0044-5

zbMATH Keywords

impulsive differential equation

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Functional-differential equations with impulses (34K45) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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On stability of solutions of nonlinear nonstationary systems of impulsive differential equations in a critical case ⋮ The stability analysis of abstract Takagi-Sugeno fuzzy impulsive system ⋮ A linearized compact difference scheme for a class of nonlinear delay partial differential equations ⋮ Impulsive stabilization of mechanical systems in Takagi-Sugeno models ⋮ Lipschitz invariant tori of indefinite-monotone systems ⋮ On the stability of solutions of large-scale systems of impulsive differential equations in critical cases ⋮ Stability criterion of linear systems with delay and two-periodic impulse excitation ⋮ An analog to Kamenkov's critical stability case for nonstationary systems of impulsive differential equations ⋮ Robust stability of systems of linear differential equations with periodic impulsive influence ⋮ Fuzzy impulsive stabilization of the upper equilibrium position of a pendulum on a moving foundation ⋮ On the stability of abstract monotone impulsive differential equations in terms of two measures ⋮ A counterpart of A. M. Molchanov's critical case for impulse systems ⋮ The global stability conditions for solutions of nonstationary differential equations with instant impulsive effects in pseudolinear form ⋮ A new approach for solving a class of delay fractional partial differential equations ⋮ Interval stability of linear impulsive systems ⋮ Robust stability and \(H_\infty\)-control of uncertain systems with impulsive perturbations ⋮ Piecewise-polynomial approximations for the solutions of impulsive differential equations ⋮ Stability in terms of two measures for a class of semilinear impulsive parabolic equations ⋮ Application of Lyapunov's direct method to the study of the stability of solutions to systems of impulsive differential equations

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