Virginia TechBowden, Robert L.Cameron, W. L.Zweifel, Paul F.2014-04-092014-04-091977-02Bowden, R. L.; Cameron, W. L.; Zweifel, P. F., "Conservative neutron-transport theory," J. Math. Phys. 18, 281 (1977); http://dx.doi.org/10.1063/1.5232470022-2488http://hdl.handle.net/10919/47034A functional analytic development of the Case full_range and half_range expansions for the neutron transport equation for a conservative medium is presented. A technique suggested by Larsen is used to overcome the difficulties presented by the noninvertibility of the transport operator K _1 on its range. The method applied has considerable advantages over other approaches and is applicable to a class of abstract integro-differential equations.en-USIn Copyrightneutron transportreal functionsConservative neutron-transport theoryArticle - Refereedhttp://scitation.aip.org/content/aip/journal/jmp/18/2/10.1063/1.523247Journal of Mathematical Physicshttps://doi.org/10.1063/1.523247