TY - JOUR
T1 - Estimates for Exponential Decay of Solutions to One Class of Nonlinear Systems of Neutral Type with Periodic Coefficients
AU - Matveeva, I. I.
PY - 2020/4/1
Y1 - 2020/4/1
N2 - The class of nonlinear systems of delay differential equations with periodic coefficients in linear terms is considered. By using a special class of Lyapunov–Krasovskii functionals, conditions for the exponential stability of the zero solution are indicated and estimates characterizing the rate of exponential decay of solutions at infinity are obtained.
AB - The class of nonlinear systems of delay differential equations with periodic coefficients in linear terms is considered. By using a special class of Lyapunov–Krasovskii functionals, conditions for the exponential stability of the zero solution are indicated and estimates characterizing the rate of exponential decay of solutions at infinity are obtained.
KW - estimates of solutions
KW - exponential stability
KW - Lyapunov–Krasovskii functional
KW - systems of neutral type
UR - http://www.scopus.com/inward/record.url?scp=85086173116&partnerID=8YFLogxK
U2 - 10.1134/S0965542520040120
DO - 10.1134/S0965542520040120
M3 - Article
AN - SCOPUS:85086173116
VL - 60
SP - 601
EP - 609
JO - Computational Mathematics and Mathematical Physics
JF - Computational Mathematics and Mathematical Physics
SN - 0965-5425
IS - 4
ER -