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GLOBAL STABILITY AND BOUNDEDNESS OF SOLUTIONS TO DIFFERENTIAL EQUATIONS OF THIRD ORDER WITH MULTIPLE DELAYS

机译:具有多个时滞的三阶微分方程解的整体稳定性和有界性

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摘要

In this paper, the author gives certain sufficient conditions for the global asymptotic stability and boundedness of solutions to a class of functional differential equations of third order with multiple delays. The technique of proofs involve defining an appropriate Lyapunov-Krasovskii functional and applying LaSalle's invariance principle. An example is discussed to illustrate the efficiency of the obtained results. Our results complement and improve some related ones in the literature.
机译:本文为一类具有多个时滞的三阶泛函微分方程的全局渐近稳定性和解的有界性提供了一定的条件。证明技术涉及定义适当的Lyapunov-Krasovskii泛函并应用LaSalle的不变性原理。讨论了一个例子来说明所获得结果的效率。我们的结果补充和改进了文献中的一些相关结果。

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