迁移理论中的一类本征值问题

A Class of Eigenvalue Problem Arising in Transport Theory

本文在具有物理意义的Ｌ￣１空间中证明了一类带一般边界条件的定态迂移方程临界本征值的存在性。讨论了临界本征值关于参数的单调性及连续依赖性。

The existence of the critical eigenvalue for a class of steady一state transportequation with general boundary conditions is proved in L￣1-space. The monotonicity andcontinuous dependence of the critical eigenvalues about parameters are also discussed.