摘要
给出了一类带有时滞的偏微分方程.该方程描述得是含有非局部和时滞边界条件的分布参数系统.运用泛函分析和积分方程的理论,证明了方程解的存在唯一性,得到解的解析表达式.
This paper fristly gives a class of partial differential equation with time delay. The equation involves distributed parameter system with non-local and delayed boundary condition. Secondly applying the theory of functional analysis and integral equation, we prove that the solution of the equation exists and is unique, and get the analytical expression of the solution.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第12期153-160,共8页
Mathematics in Practice and Theory
基金
河北省自然科学基金(A2007000225)
关键词
偏微分方程
时滞
积分方程
CES函数
partial differential equation
time delay
integral equation
CES function
