J Austral Math Soc Ser B 32 pp223--230, 1990.

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

Nassar H. S. Haidar

(Received December 1988; revised January 1990)

Abstract

We 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.

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Author

Nassar H. S. Haidar: Lebanese NCSR Nuclear Research Centre and Department of Mathematics, American University of Beirut, Lebanon.

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Last Modified: Mon Jan 14 16:51:06 2002