| 线性积-微分迁移方程的正解 |
| |
| 引用本文： | 邵琛.线性积-微分迁移方程的正解[J].系统科学与数学,1992,12(4):334-340. |
| |
| 作者姓名： | 邵琛 |
| |
| 作者单位： | 中国原子能科学研究院 北京102413
(邵琛)，中国原子能科学研究院 北京102413(阳名珠) |
| |
| 摘 要： | 关于线性积-微分迁移方程 Neumann 级数解的问题,目前已有许多讨论.本文对一般情况下,带弱边界条件的定态迁移方程非负(正)Neumann 级数解的存在性条件进行更深入的研究,目的不仅仅是给出使方程存在非负(正)解的充分条件,而且还在于探
|
THE POSITIVE SOLUTION OF LINEAR INTEGRODIFFERENTIAL EQUATIONS |
| |
| SHAO CHEN,YANG MING-ZHU.THE POSITIVE SOLUTION OF LINEAR INTEGRODIFFERENTIAL EQUATIONS[J].Journal of Systems Science and Mathematical Sciences,1992,12(4):334-340. |
| |
| Authors: | SHAO CHEN YANG MING-ZHU |
| |
| Institution: | (1)China Institute of Acomic Energy,Beijing,102413;(2)China Institute of Acomic Energy,Beijing,102413 |
| |
| Abstract: | In this paper,the existence of positive Neumann series solution for the stationary,the sta-tionary anisotropic,and energy-dependent transport equation in bounded convex inhomogene-ous media with vacuum boundary condition is discussed transport equation,in bodunded con-vex inhomogeneous media with vacuum boundary condition is discussed,and the relation be-tween the condition of the existence of a positive solution and the properties of transport mediais explored.By constructing new operators,a condition under which the equation possessesunique positive solution is given.In addition,the dominant eigenvalue of the transport op-erator is estimated and the asymptotic property of the solution for the time-dependent equa-tion is described. |
| |
| Keywords: | |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
|
