【摘要】 本文考虑中子迁移理论中板几何的新的参数（称为控制参数）方程μαφ（x,μ）/α_x-1/δ[integral from -1 to 1（k（x;μ,μ′）φ（x,μ′）dμ′-σ（x）φ（x,μ））]=f（x,μ）,（x,μ）∈[-a,a]×[-1,1],满足边界条件φ（a,μ）|_μ<0=0,φ（-a,μ）|_μ>0=0的解。我们得到如下结论:存在正常数ρ、使得当β=1/δ,0<β<ρ时,该方程在Banach空间B中有唯一解,且用离散纵标法计算得到的解必收敛于相应的解。更多还原

【Abstract】 In this paper, We consider the solution of the new parameter (control parameter) eguattion for the slab geometry in the transport theory of neutrons,satisfying boundary conditionsWe have found that there exists a positive constant ρ such that the equation has a unique solution in Banach space B, when β=1/δ, 0<β<ρ, and the solutions computed b the discrete-ordinates method do converge to the corresponding solution,更多还原