摘要
在可测向量函数空间讨论了形如x(t)=F(t,x(t),T_x(t)),x(t_0)=x_0的积分微分方程所描述的不连续系统广义解的存在性,建立了较一般的唯一性的定理。进而讨论了广义解对参数和扰动的连续依赖性,对算子T的不同性态给出了一些实用的结果。
The existence, the uniqueness and the continuous dependence of generalized solutions on parameters, for the following discontinuous nonlinear integrodifferential equation in essentially bounded measurable vector function space. x(t)=F(t,x(t), Tx(t)), x(t_0)=x_0. At the same time, we go further into the property of a different tpye in respect of the oporator T, getting some really functional results.
出处
《陕西师大学报（自然科学版）》
CSCD
1990年第3期15-19,共5页
Journal of Shaanxi Normal University(Natural Science Edition)
关键词
积分微分方程
广义解
存在唯一性
generalized solutions
Carathedory condition
essentially bounded
measurable vector function
