Stability of solutions to differential equations of neutral type

We consider systems of quasilinear delay differential equations of neutral type and establish the condition of stability of the zero solution, as well as uniform estimates for the solution on the half-axis. In the case of asymptotic stability, these estimates provides the decay rate of the solution...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2012-10, Vol.186 (3), p.394-406
Main Authors: Demidenko, G. V., Kotova, T. V., Skvortsova, M. A.
Format: Article
Language:English
Subjects:
Differential equations
Mathematics
Mathematics and Statistics
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Summary:We consider systems of quasilinear delay differential equations of neutral type and establish the condition of stability of the zero solution, as well as uniform estimates for the solution on the half-axis. In the case of asymptotic stability, these estimates provides the decay rate of the solution at infinity. Bibliography: 17 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-012-0994-x