The effective technique of solving of reduced characteristics equations of radiation transfer theory
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An integral equation of radiation transfer theory is considered. The method to solution of this equation based on its reduction to an infinity system of linear algebraic equations is presented. The solvability conditions in L2-space are given and the explicit series solution is constructed.
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Borovik, F. N. The effective technique of solving of reduced characteristics equations of radiation transfer theory / F. N. Borovik, N. N. Rogovtsov // Труды Института математики: научный журнал. – 2004. – № 2. – С. 44-48.