Preservation of the Exponential Stability under Perturbations of Linear Delay Impulsive Differential Equations
Author(s) -
Leonid Berezansky,
Elena Braverman
Publication year - 1995
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/668
Subject(s) - mathematics , differential equation , exponential stability , exponential function , mathematical analysis , equivalence (formal languages) , linear differential equation , first order partial differential equation , exponential growth , stability (learning theory) , c0 semigroup , homogeneous differential equation , differential algebraic equation , ordinary differential equation , physics , nonlinear system , pure mathematics , computer science , quantum mechanics , machine learning
Exponential stability of an impulsive functional-differential equation under perturbations is studied by means of a new method. . We transform a differential equation into an operator equation. The method is based on the equivalence of exponential stability and solvability of the operator equation in certain function spaces.
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