广义Volterra型积分方程的连续解

Cominuous Solutions for Generalized Volterra Integral Equations

设Ｇ是一个定义了某种序关系的局部紧Ｈａｕｓｄｏｒｆｆ空间，考虑Ｇ上形如ｘ（ｔ）＝ｗ（ｔ）的广义Ｖｏｌｔｅｒｒａ型积分方程，给出了这样一个方程存在唯一连续整体解的充分条件，并由此导出了相应的积分不等式结果。

Let G be a locally compact Hausdorff space in which a certain order relation is defined.Generalized Voltera's in tegral equations on G of the form ds are studied.Certain sufficient conditions for guaranteeing a unique continuous global solu-tion for such equations are given Corresponding results with respect to the integral inequali-ties are derived.The main tools used are the principle of contraction mapping and thestandard continuous extension method.