On eigensolutions of the one-speed neutron transport equation in plane geometry

Author:

Haidar Nassar H. S.

Abstract

AbstractWe revisit the singular eigensolution to the steady state one-speed transport equation for an isotropically scattering and multiplying heterogeneous slab. It is proved that this solution is a sum of Stieltjes integrals over the resolvent set of only the operator of multiplication by the angular variable.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the transport operator with a linearized kernel;Journal of Physics A: Mathematical and General;1993-09-07

2. Eigenfunctions for a class of parametric Sturm-Liouville problems with an eigenvalue continuum;Journal of Mathematical Analysis and Applications;1991-10

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