Oscillation of a Linear Delay Impulsive Differential Equation

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dc.creatorBerezansky, L.
dc.creatorBraverman, E.
dc.date1995-02-07
dc.date.accessioned2026-07-07T09:13:32Z
dc.date.available2026-07-07T09:13:32Z
dc.descriptionThe main result of the paper is that the oscillation (non-oscillation) of the impulsive delay differential equation $\dot {x}(t)+\sum_{k=1}^m A_k(t)x[h_k(t)]=0,~~t\geq 0$, $x(τ_j)=B_jx(τ_j-0), \lim τ_j = \infty$ is equivalent to the oscillation (non-oscillation) of the equation without impulses $\dot {x}(t)=\sum_{k=1}^m A_k(t) \prod_{h_k(t)<τ_j\leq t} B_j^{-1}x[h_k(t)]=0, t \geq 0$. Explicit oscillation results are presented.
dc.description17 pages, latex, no figures
dc.identifierhttps://arxiv.org/abs/funct-an/9502002
dc.identifierhttp://arxiv.org/abs/funct-an/9502002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152356
dc.subjectFunctional Analysis
dc.subjectDynamical Systems
dc.titleOscillation of a Linear Delay Impulsive Differential Equation
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