Extremal Solutions of a Class of Nonlinear Integro-differential Equations in Banach Spaces
نویسندگان
چکیده
The monotone iterative technique is applied to a class of nonlinear first order integro-differential equations in Banach spaces. First a linear system with a “small” nonlinear perturbation is solved using Banach’s Contraction Principle and the technique of Green’s function. Then based upon a comparison result, the existence of minimal and maximal solutions is proved.
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