TY - JOUR
T1 - Exponential stability of a second order delay differential equation without damping term
AU - Berezansky, Leonid
AU - Domoshnitsky, Alexander
AU - Gitman, Mikhail
AU - Stolbov, Valery
N1 - Funding Information:
The paper partially supported by Israeli Ministry of Absorption. The authors are thankful to the anonymous referees for valuable suggestions for the improvement of this paper.
Funding Information:
This paper appeared as a result of theoretical discussions around the project “Exploitation of a Synergetic Model for Development of Business of Innovation Type” on the Topic No. 2013/276-C “Development of a Model of Operation of Innovation Business as Dynamic Model with Memory Effect,” supported by Perm National Research Polytechnic University with financial support of Ministry of Science and Education of Russian Federation (Agreement No. 02.G25.31.0068 of 23.05.2013).
Publisher Copyright:
© 2015 Elsevier Inc. All rights reserved.
PY - 2015/5/1
Y1 - 2015/5/1
N2 - For the delay differential equation x(t) + a(t)x(h(t)) - b(t)x(g(t)) = 0, g(t) ≤ t, h(t) ≤ t, without damping term, explicit exponential stability conditions are obtained.
AB - For the delay differential equation x(t) + a(t)x(h(t)) - b(t)x(g(t)) = 0, g(t) ≤ t, h(t) ≤ t, without damping term, explicit exponential stability conditions are obtained.
KW - Exponential stability
KW - Second order delay equations
KW - Without damping
UR - http://www.scopus.com/inward/record.url?scp=84923864468&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2015.01.114
DO - 10.1016/j.amc.2015.01.114
M3 - Article
AN - SCOPUS:84923864468
SN - 0096-3003
VL - 258
SP - 483
EP - 488
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
M1 - 20754
ER -