Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1995-03-31
Preservation of the Exponential Stability under Perturbations of Linear Delay Impulsive Differential EquationsLeonid Berezansky and Elena Braverman (1) Ben Gurion University of the Negev, Beer-Sheba, Israel
(2) Technion - Israel Institute of Technology, Haifa, Israel
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: Impulsive delay differential equations, exponential stability, perturbations
Berezansky Leonid, Braverman Elena: Preservation of the Exponential Stability under Perturbations of Linear Delay Impulsive Differential Equations. Z. Anal. Anwend. 14 (1995), 157-174. doi: 10.4171/ZAA/668