板几何迁移系统的临界解（Ⅱ）

THE CRITICALITY OF TRANSPORT SYSTEM IN SLAB GEOMETRY(Ⅱ)

研究一类非均匀介质，各向异性的板几何迁移系统的临界解。籍助泛函分析方法，特别是Ｌｐ空间（１≤ｐ＜＋∞）上的线性算子理论，证明了积分算子的主本征值（即临界参数）的性质，并获得了系统处于次临界状态的条件以及使系统处于临界状态的平板厚度的存在性。

In this paper we investigate the critical solution of transport system in slab geometry with non-uniform and anisotrpic medium. we chow the proporties of the prinapel eigenvalue(i.e.t the critical paramcter)of the corresponding Bolzmann integral operator,by using the functional anaysis,especially the operator theory in LP spaecs(1≤p<+∞).It is studied that the corropnding transport swteim is in the subritical dete if k<(1+3|b|)(-1) ,and the existenee of the critical slab if