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推广的人口理论扩散模型的初边值问题
INITIAL BOUNDARY VALUE PROBEM OF A GENERALIZED DIFFUSION MODEL IN POPULATION DYNAMICS
【摘要】 <正> 其中 a1>0,a2(?)0和 a 均是常数,m 为正整数,l、h 为某个正常数.u0(x)是[0,l]上给定的五次连续可微函数。方程(1)是人口增长和迁移问题中一类数学模型的推广形式。
【Abstract】 A initial bowndary—value problem of a forth—order parabolic different-ial equation is studied.We replace this initial boundary—value problem with a Volterra—type inlegral equation.The relation between the initial bound ary-value problem and the integral equation,the existence—uniqueness of a solu-tion to the integral equation are also given。
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,1987年03期
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