摘要
本文从人口系统的数学模型出发,讨论了一类积分一偏微分方程的非齐次边值问题,给出了用初值函数与方程的自由项对解的先验估计,从而证明了该问题在空间 H^(1,1)(Q_T)中的广义解的唯一性。
In this paper,proceeded from the nonstationary population evolution equ- ation,we have discussed non-homogeneous boundary value problem of a class of integro-partial differential equation,and gaven a estimate for the solutioa p(r,t) belonging to H^(1/1)(Q_T) by the free term f(r,t) and initial condition (r).Furthermore,we have obtained the uniqeness of generalized solution for the integro-partial differential equation
出处
《东北师大学报（自然科学版）》
CAS
CSCD
1990年第3期15-19,共5页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金
关键词
边值问题
广义解
唯一性
integro-partial differential equation
generalized solution
uniqeness
