研究了带时滞的积分不等式.通过使用辅助函数,建立了一个新的时滞积分不等式,所得不等式不仅推广和改进了已有的部分结果,而且在研究微分方程定性理论中起着重要的作用.同时也给出了一种新的研究不等式的方法,采用这种证明方法可讨论含有多个积分函数的不等式.
In this paper,integral inequality with delay is investigated.One new integral inequality with delay is established by using auxiliary functions,which not only generalizes and improves some existing results,but also plays an important role in the qualitative theory of certain differential equations.A new way to study inequality is also brought forward.The inequality which involves multiple-fold integral functions can be discussed by using this new method.