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.
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Leonid Berezansky, Elena Braverman, Preservation of the Exponential Stability under Perturbations of Linear Delay Impulsive Differential Equations. Z. Anal. Anwend. 14 (1995), no. 1, pp. 157–174DOI 10.4171/ZAA/668