Exponential Stability of Linear Delay Impulsive Differential Equations

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dc.creatorAnokhin, A.
dc.creatorBerezansky, L.
dc.creatorBraverman, E.
dc.date1993-11-26
dc.date.accessioned2026-07-07T09:13:26Z
dc.date.available2026-07-07T09:13:26Z
dc.descriptionFor ordinary differential equations and functional differential equations the following result is well known. Suppose any solution is bounded on the half-line for each bounded on the half-line right-hand side. Then under certain conditions the equations is exponentially stable. We prove the same result for a delay differential equation $$ \dot{x}(t) + \sum_{i=1}^k A_i (t)x[h_i(t)] = f(t), $$ with impulses $$ x(τ_i + 0) = B_i x(τ_i - 0) $$ at fixed moments $τ_i$. The proof is based on a solution representation formula obtained here.
dc.description29 pp., LaTex-file
dc.identifierhttps://arxiv.org/abs/funct-an/9311004
dc.identifierhttp://arxiv.org/abs/funct-an/9311004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152325
dc.subjectFunctional Analysis
dc.subjectDynamical Systems
dc.titleExponential Stability of Linear Delay Impulsive Differential Equations
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