一阶隐式微分方程广义初值问题解的存在性

Existence of Solutions of First Order Implicit Differential Equation with Generalized Initial Value Problem

讨论一阶隐式微分方程广义初值问题在Banach空间中解的存在性,运用Schauder不动点定理建立了所研究问题解的存在性.

In this paper,the existence of solutions of first order implicit differential equation with generalized initial value problem in Banach space was studied.The existence of solutions for the studied problem was proved by means of Schauder fixed point theorem.