On stability of linear neutral differential equations in the Hale form

Leonid Berezansky, Elena Braverman

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We present new explicit exponential stability conditions for the linear scalar neutral equation with two variable coefficients and delays (x(t)−a(t)x(g(t)))=−b(t)x(h(t)),where |a(t)| < 1, b(t) ≥ 0, h(t) ≤ t, g(t) ≤ t, in the case when the delays t−h(t), t−g(t) are bounded, as well as an asymptotic stability condition, if the delays can be unbounded.

Original languageEnglish
Pages (from-to)63-71
Number of pages9
JournalApplied Mathematics and Computation
Volume340
DOIs
StatePublished - 1 Jan 2019

Keywords

  • Asymptotic stability
  • Exponential stability
  • Neutral equations in the Hale form
  • Neutral pantograph equation
  • Solution estimates
  • Unbounded delays

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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