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Abstract
In this paper, we consider the nonlinear transport equation with delayed neutrons. By means of the tneory of nonlinear perturbations of Co -semigroups, the existence and uniqueness of the mild solution, strong solution and local solution in Lp (1 ≤ p < +00) are proved. It is showed that the mild solution of this equation can be constructed by iterative method. The convergence speed of the iterative solution is also estimated.