迁移理论中一类具反射边界条件参数方程的解

The solution of an energy-dependent parameteric equation with reflecting boundary conditions in transport theory

本文研究的是迁移理论中一类新的参数方程——控制临界本征方程。针对一类具反射边界条件下各向同性、连续能量、均匀介质中子迁移方程,应用泛函分析方法,讨论了这类参数方程的非零解的分布,得出了具有物理意义,唯一非零非负解存在的充分必要条件。

this paper deals with a class of parameteric equation for tra- nsport equation-The control critical eigen-equations.To Counter an energyz- dependent neutron transport equation for homogenous and isotropical with rea- flecting boundary conditions,using the theory of functional analysis,it di- scusses the dis(?)ibution of the parametes which make the eqation have a non- zero solution and obtain a necessary and sufficient condition for the existece of the only nonzero's nonnegative which possesses a physical meaning