On Integrable Solutions of Impulsive Delay Differential Equations

1994/02/13 by Leonid Berezansky, Berezansky, L., Elena Braverman +1
Engineering · Mathematics · #Differential Equations and Numerical Methods #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.funct-an/9402001

openalex publication_date 1994/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The connection of function properties of solutions with exponential stability of linear impulsive differential equation x (t) - ∑_k=1^m A_k (t) x[h_k(t)] = r(t),~ t ≥ 0, x(ξ) = φ(ξ),~ ξlt; 0, x(τ_j) = B_j x(τ_j - 0) , ~j=1,2, … . The explicit stability results and sufficient conditions for existence of integrable solutions are presented.

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