TY - JOUR
T1 - W-transform for exponential stability of second order delay differential equations without damping terms
AU - Domoshnitsky, Alexander
AU - Maghakyan, Abraham
AU - Berezansky, Leonid
N1 - Publisher Copyright:
© 2017, The Author(s).
PY - 2017/12/1
Y1 - 2017/12/1
N2 - In this paper a method for studying stability of the equation x″(t)+∑i=1mai(t)x(t−τi(t))=0 not including explicitly the first derivative is proposed. We demonstrate that although the corresponding ordinary differential equation x″(t)+∑i=1mai(t)x(t)=0 is not exponentially stable, the delay equation can be exponentially stable.
AB - In this paper a method for studying stability of the equation x″(t)+∑i=1mai(t)x(t−τi(t))=0 not including explicitly the first derivative is proposed. We demonstrate that although the corresponding ordinary differential equation x″(t)+∑i=1mai(t)x(t)=0 is not exponentially stable, the delay equation can be exponentially stable.
KW - W-method
KW - exponential stability
KW - second order delay differential equations
UR - http://www.scopus.com/inward/record.url?scp=85009932118&partnerID=8YFLogxK
U2 - 10.1186/s13660-017-1296-0
DO - 10.1186/s13660-017-1296-0
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85009932118
SN - 1025-5834
VL - 2017
JO - Journal of Inequalities and Applications
JF - Journal of Inequalities and Applications
IS - 1
M1 - 20
ER -