一类乘积形式的非线性时滞积分不等式及其应用

摘要

The authors firstly establish nonlinear retarded integral inequality of multiplicative type with applications.Next,they provide explicit bounds on unknown functions.Then,these results are used to give the estimation of the solutions of partial differential equations with the initial conditions.%作者在Pachpatte的单变量积分不等式的基础上,首先建立了一类乘积形式的非线性二变量时滞积分不等式,接着利用分析技巧对该不等式中的未知函数进行了估计,最后利用所得估计给出了相应偏微分方程解的估计.