Abstract
A generalization of the initial value integrodifferential equations of Chandrasekar for X and Y functions is investigated. The generalization includes the equations of numerical interest in which integrals are replaced by a Gaussian quadrature. Local existence and uniqueness is proven for a broad class of initial conditions. Questions of global existence, solution boundedness and Liapunov stability are resolved for general positive initial conditions. Solutions corresponding to the “nonconservative case” in radiative transfer problems are shown to be stable; those corresponding to the “conservative case” are shown to be unstable.
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