TY - JOUR
T1 - Stability of Solutions to One Class of Neutral Type Systems of Linear Autonomous Equations with Distributed Delay
AU - Yskak, T.
N1 - Funding Information:
The author was supported by the Russian Foundation for Basic Research (grant no. 18-29-10086).
Publisher Copyright:
© 2021, Pleiades Publishing, Ltd.
PY - 2021/12
Y1 - 2021/12
N2 - In this paper we consider a system of linear autonomous differential equations of neutral type with distributed delay. Sufficient conditions for the exponential stability of the zero solution of this system are given, estimates of solutions that characterize the exponential decrease at infinity are indicated. In the study of exponential stability the Lyapunov–Krasovskii functional is used.
AB - In this paper we consider a system of linear autonomous differential equations of neutral type with distributed delay. Sufficient conditions for the exponential stability of the zero solution of this system are given, estimates of solutions that characterize the exponential decrease at infinity are indicated. In the study of exponential stability the Lyapunov–Krasovskii functional is used.
KW - distributed delay
KW - estimates of solutions
KW - exponential stability
KW - Lyapunov–Krasovskii functional
KW - neutral type equation
UR - http://www.scopus.com/inward/record.url?scp=85127428085&partnerID=8YFLogxK
UR - https://elibrary.ru/item.asp?id=48154969
U2 - 10.1134/S1995080222020196
DO - 10.1134/S1995080222020196
M3 - Article
AN - SCOPUS:85127428085
VL - 42
SP - 3561
EP - 3566
JO - Lobachevskii Journal of Mathematics
JF - Lobachevskii Journal of Mathematics
SN - 1995-0802
IS - 14
M1 - 18
ER -