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The purpose of this paper is to show the existence of a generalized solution of the photon transport problem. By means of the theory of equicontinuous 
${{C}_{0}}$-semigroup on a sequentially complete locally convex topological vector space we show that the perturbed abstract Cauchy problem has a unique solution when the perturbation operator and the forcing term function satisfy certain conditions. A consequence of the abstract result is that it can be directly applied to obtain a generalized solution of the photon transport problem.
