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Turkish Journal of Mathematics

Authors

YENER ALTUN

DOI

10.55730/1300-0098.3444

Abstract

In this present study, we pay attention to a class of nonlinear neutral type systems (NNSs) with periodic coefficients and construct some assumptions guaranteeing the exponential stability (ES) of the trivial solutions of the system considered. To get specific conditions guaranteeing the ES, we use a modified Lyapunov functional. In conclusion, we get some estimates for the exponential decay of the solutions at infinity with the constructed sufficient conditions. We give two examples to demonstrate the applicability of the results obtained with the constructed assumptions.

Keywords

ES, exponential decay, Lyapunov functional, NNS, periodic coefficient

First Page

1508

Last Page

1527

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Mathematics Commons

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