Volterra积分微分方程Cauchy问题解的存在性与唯一性

The Existence and Uniqueness of Solutions of Cauchy Problem to Volterra Integra-differential Equations

本文研究了初始函数不必有界不必连续情况下,Volterra 方程初值解的存在性与唯一性问题、推广了文献[1]的有关结果。

In this paper we deal with the existence and uniqueness of solutions of Cauchy problem to Volterra integradifferential equa- tions with unbounded or discontinuous initial functions.Our theo- rems are generalization of the main results of [1].