A Stability Criterion for Delay Differential Equations With Impulse Effects
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Date
2007
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World Scientific Publishing Co.
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Abstract
In this paper, we prove that if a delay differential equation with impulse effects of the form x’(t) = A(t)x(t) + B(t)x(t - τ), t ≠ θi, Δx(θi) = Cix(θi) + Dix(θi-j); i ∈ 2 N; verfies a Perron condition then its trivial solution is uniformly asymptotically stable. © 2007 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.
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Adjoint, Delay, Impulse, Perron, Uniform Asymptotic Stability
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Citation
Alzabut, J.O.;, "A Stability Criterion for Delay Differential Equations With Impulse Effects", Applied Analysis and Differential Equations: Lasi, Romania, 4-9 September 2006, pp. 1-10, (2007).
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1
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Applied Analysis and Differential Equations: Lasi, Romania, 4-9 September 2006
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1
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10
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