Oscillation of a Linear Delay Impulsive Differential Equation

1995/02/07 by Leonid Berezansky, Berezansky, L., Elena Braverman +1
Engineering · Mathematics · #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.funct-an/9502002

openalex publication_date 1995/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main result of the paper is that the oscillation (non-oscillation) of the impulsive delay differential equation x(t)+∑_k=1^m A_k(t)x[h_k(t)]=0,~~t≥ 0, x(τ_j)=B_jx(τ_j-0), lim τ_j = ∞ is equivalent to the oscillation (non-oscillation) of the equation without impulses x(t)=∑_k=1^m A_k(t) ∏_h_k(t)

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