Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms
https://doi.org/10.25587/2411-9326-2023-4-37-48
Abstract
We consider a class of systems of difference equations with time-varying delay and periodic coefficients in linear terms. Conditions for the asymptotic stability of the zero solution are established and estimates characterizing stabilization rates of solutions at infinity are obtained.
About the Authors
I. I. Matveeva
Sobolev Institute of Mathematics; Novosibirsk State University
Russian Federation
Russian Federation
Inessa I. Matveeva
4 Koptyug Avenue, Novosibirsk 630090
1 Pirogov Street, Novosibirsk 630090
A. V. Khmil
Novosibirsk State University
Russian Federation
Russian Federation
Arseniy V. Khmil
1 Pirogov Street, Novosibirsk 630090
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Review
For citations:
Matveeva I.I., Khmil A.V. Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms. Mathematical notes of NEFU. 2023;30(4):37-48. (In Russ.) https://doi.org/10.25587/2411-9326-2023-4-37-48
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