一类三阶中立型微分方程的稳定性、有界性和平方可积性

2020 2nd International Conference on Mathematics and Information Technology (ICMIT) Pub Date : 2020-02-01 DOI:10.1109/ICMIT47780.2020.9047030

D. Beldjerd, Anes Moulai-Khatir, L. Oudjedi

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引用次数: 0

摘要

研究一类三阶非线性中立型时滞微分方程。利用Lyapunov直接方法，我们得到了零解一致渐近稳定的新充分条件，以及所有解的有界性和平方可积性。这里的结果将会引起其他研究微分方程解的定性行为的研究者的兴趣。

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On The Stability, Boundedness And Square Integrability Of A Class Of Third Order Neutral Differential Equations

A non-linear neutral delay differential equation of the third order is considered. Using Lyapunov’s direct method, we have derived new sufficient conditions for the uniform asymptotic stability of the zero solution as well as the boundedness and square integrability of all solutions. The results here will be of interest to other researchers working on qualitative behavior of solutions of differential equations.

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2020 2nd International Conference on Mathematics and Information Technology (ICMIT)

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