Estimates for Solutions of One Class of Nonlinear Neutral Type Systems with Several Delays
- Authors: Demidenko G.V.1,2, Matveeva I.I.1,2
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Issue: Vol 213, No 6 (2016)
- Pages: 811-822
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237264
- DOI: https://doi.org/10.1007/s10958-016-2742-0
- ID: 237264
Cite item
Abstract
We consider a class of systems of nonlinear differential equations of neutral type with several delays. We obtain conditions of exponential stability of the zero solution and establish estimates characterizing the exponential decay rate of solutions at infinity. Bibliography: 14 titles.
About the authors
G. V. Demidenko
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Author for correspondence.
Email: demidenk@math.nsc.ru
Russian Federation, 4, pr. Akad. Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
I. I. Matveeva
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Email: demidenk@math.nsc.ru
Russian Federation, 4, pr. Akad. Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090