On stability of linear neutral differential equations in the Hale form

Leonid Berezansky and Elena Braverman

Applied Mathematics and Computation, 2019, vol. 340, issue C, 63-71

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.

Keywords: Neutral equations in the Hale form; Neutral pantograph equation; Exponential stability; Solution estimates; Unbounded delays; Asymptotic stability (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300318306490
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:340:y:2019:i:c:p:63-71

DOI: 10.1016/j.amc.2018.08.010

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().