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重庆交通大学学报（自然科学版）

重庆交通大学学报（自然科学版） ›› 1986, Vol. 5 ›› Issue (1): 29-39.

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Bihari不等式的推广及其在中立型微分方程组解的稳定性中的应用

徐安石   

  • 收稿日期:1985-08-31 出版日期:1986-02-20 发布日期:2016-10-24

A Generalization of Bihari's Inequality and Its Applications to Stability of the Solution of Systems of Neutral Differential Equations

Xu Anshi   

  • Received:1985-08-31 Online:1986-02-20 Published:2016-10-24

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摘要： 在文[1],[2],[3]中,作者将Bihari不等式推广到有限个非线性积分泛函项的情形。本文推广或改正了上述文章中的结论,并将它们应用于具变量时滞的中立型微分方程组解的稳定性的研究中,得到与文[4],[6]互相不包的充分条件,并且推广了文[5]的结论。

Abstract: In references[1,2,3], the important integral inequality due to Bihari was gineralized to the case of having finite terms of nonlinear integral functionals.We further generalized and corrected some results in [1,2,3] in this paper.Then, we applied the results obtained to the study of stability of solutions of certain systems of nonlinear neutral differential equations with variable time lag. We obtained another set of sudficient conditions on stability and asymptotic stability of zero solution and generalized the results in [5].