Author: Inessa I. Matveeva
Abstract:
We consider a class of nonlinear time-varying delay systems of neutral type
differential equations with periodic coefficients in the linear terms,
where A(t), B(t), C(t) are T-periodic 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: Time-varying 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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