算子与微分方程

Operator and Differential Equtions

本文研究一类不连续隐积分微分方程的周期边值问题，首先将方程转化为算子方程．然后对算子方程应用广义迭代法证得算子方程解的存在性，从而证得周期边值问题解的存在性。

This paper is to study a kind of discontinuous implicit integrodifferential equations. First, the equations are tfansformed inio a operator equation, then we develop a generalized iteration method for the operator equation to obtain the existence of the periodic boundary value problems.