具有周期系数的非线性中立型系统解的指数稳定性的一些估计

IF 0.8 4区数学 Q2 MATHEMATICS

Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI:10.55730/1300-0098.3444

Y. Altun

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引用次数: 0

摘要

在本研究中，我们关注一类具有周期系数的非线性中立型系统，并构造了一些假设来保证所考虑系统平凡解的指数稳定性。为了得到保证ES的具体条件，我们使用了一个改进的李亚普诺夫泛函。总之，在构造的充分条件下，我们得到了无穷大解的指数衰减的一些估计。我们举了两个例子来证明用所构建的假设获得的结果的适用性。

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Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients

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.

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来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.