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一类向量形式的积分—偏微分方程组的正则广义解
引用本文:高夯. 一类向量形式的积分—偏微分方程组的正则广义解[J]. 东北师大学报(自然科学版), 1989, 0(3)
作者姓名:高夯
作者单位:东北师大数学系
摘    要:本文从具有双向流动的城乡人口系统的数学模型出发,讨论了一类向量形式的积分偏微分方程组,证明了该方程组的正则广义解的存在性。本文结果可为人口的预测提供数学方法。

关 键 词:积分一偏微分方程组  正则广义解

REGULAR GENERALIZED SOLUTION OF A CLASS OF SYSTEM OF INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS IN VECTOR FORM
Gao Hang. REGULAR GENERALIZED SOLUTION OF A CLASS OF SYSTEM OF INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS IN VECTOR FORM[J]. Journal of Northeast Normal University (Natural Science Edition), 1989, 0(3)
Authors:Gao Hang
Abstract:Proceeded from the mathematical continuous model of the urban and rural population systems with two-way population flow,using the theories of modern partial differential equation and integral equation, in this paper we have obtained the regular generalized solution of the system of integro-partial differential equations in vector form which describe the urban and rural population systems with two-way population flow.These results provide strict mathematical basis to discuss the state of the population system,make population forecast and find the population control laws for us.
Keywords:System of integro-partial differential equations  Regular generalized solution
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