Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms
- Authors: Demidenko G.V.1, Matveeva I.I.1, Skvortsova M.A.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 60, No 5 (2019)
- Pages: 828-841
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172636
- DOI: https://doi.org/10.1134/S0037446619050069
- ID: 172636
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Abstract
Under study are the systems of nonlinear delay differential equations of neutral type with periodic coefficients of linear terms. We establish sufficient conditions of exponential stability of the zero solution, point out the attraction domains of the zero solution, and provide estimates for solutions characterizing the stabilization rate at infinity.
About the authors
G. V. Demidenko
Sobolev Institute of Mathematics
Author for correspondence.
Email: demidenk@math.nsc.ru
Russian Federation, Novosibirsk
I. I. Matveeva
Sobolev Institute of Mathematics
Author for correspondence.
Email: matveeva@math.nsc.ru
Russian Federation, Novosibirsk
M. A. Skvortsova
Sobolev Institute of Mathematics
Author for correspondence.
Email: sm-18-nsu@yandex.ru
Russian Federation, Novosibirsk