时间尺度上的Gronwall型积分不等式

Some Gronwall Type Integral Inequalities on Time Scales

利用比较定理,研究了时间尺度上的几个Gronwall型积分不等式,并举例说明了它们的一些应用。这些不等式是一些已知的积分不等式及其离散形式的统一和延伸。

In this paper,using comparison theorem,we investigate some Gronwall type inequalities on time scales,which unify and extend some continuous inequalities and their corresponding discrete analogues.Two applications of the main results are given in the end of this paper.