Preservation of the Exponential Stability under Perturbations of Linear Delay Impulsive Differential Equations
- 31 March 1995
- journal article
- Published by European Mathematical Society - EMS - Publishing House GmbH in Zeitschrift für Analysis und ihre Anwendungen
- Vol. 14 (1) , 157-174
- https://doi.org/10.4171/zaa/668
Abstract
Exponential stability of an impulsive functional-differential equation under per-turbations 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.Keywords
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