一类二重积分不等式中未知函数的估计

利用变量替换技巧、放大技巧和反函数技巧等方法, 研究了一类被积函数中含有未知函数及其导函数、积分项外包含了非常数项的非线性二重积分不等式，给出该类不等式中未知函数的显上界估计，并举例说明所得结果可以用来研究微分-积分方程解的估计.

Estimation of Unknown Function of a Class of Double Integral Inequalities

A class of nonlinear double integral inequalities is studied, which includes an unknown function and its derivative function in integrand function, and a nonconstant factor outside integral sign. The upper bound of the unknown function in the integro-differential inequality is estimated explicitly using the techniques of change of variable, the method of amplification, and inverse function technique. The derived results can be applied in the study of the explicit upper bounds of solutions of a class of integro-differential equations.