Electron. J. Differential Equations,
Vol. 2020 (2020), No. 20, pp. 112.
Exponential stability of solutions to nonlinear timevarying
delay systems of neutral type equations with periodic coefficients
Author: Inessa I. Matveeva
Abstract:
We consider a class of nonlinear timevarying delay systems of neutral type
differential equations with periodic coefficients in the linear terms,
where A(t), B(t), C(t) are Tperiodic matrices, and
We obtain conditions for the exponential stability of the zero solution
and estimates for the exponential decay of the solutions at infinity.
Submitted April 30, 2019. Published February 14, 2020.
Math Subject Classifications: 34K20.
Key Words: Timevarying delay equation; neutral equation; periodic coefficient;
exponential stability.
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Inessa I. Matveeva
Laboratory of Differential and Difference Equations
Sobolev Institute of Mathematics
4, Acad. Koptyug avenue, Novosibirsk 630090, Russia
email: matveeva@math.nsc.ru

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