Exponential stability of solutions to nonlinear time-varying delay systems of neutral type equations with periodic coefficients
Date
2020-02-14
Authors
Matveeva, Inessa
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider a class of nonlinear time-varying delay systems of neutral type differential equations with periodic coefficients in the linear terms,
d/dt y(t) = A(t)y(t) + B(t)y(t - τ(t)) + C(t) d/dt y(t - τ(t))
+ F(t, y(t), y(t - τ(t)), d/dt y(t - τ(t))),
where A(t), B(t), C(t) are T-periodic matrices, and
∥F(t, u, v, w)∥ ≤ q1∥u∥ + q2∥v∥ + q3∥w∥, q1, q2, q3 ≥ 0, t > 0.
We obtain conditions for the exponential stability of the zero solution and estimates for the exponential decay of the solutions at infinity.
Description
Keywords
time-varying delay equation, neutral equation, periodic coefficient, exponential stability
Citation
Matveeva, I. I. (2020). Exponential stability of solutions to nonlinear time-varying delay systems of neutral type equations with periodic coefficients. <i>Electronic Journal of Differential Equations, 2020</i>(20), pp. 1-12.
Rights
Attribution 4.0 International