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Iterative method for solutions and coupled quasi-solutions of nonlinear integro-differential equations of mixed type in Banach spaces. (English) Zbl 0962.45007
The author considers the existence of solutions, coupled minimal and maximal quasi-solutions and iterative approximation of the unique solution for the initial value problems of nonlinear integro-differential equations of mixed type in ordered Banach spaces.

MSC:
45N05Abstract integral equations, integral equations in abstract spaces
45J05Integro-ordinary differential equations
45G10Nonsingular nonlinear integral equations
45L05Theoretical approximation of solutions of integral equations
47H07Monotone and positive operators on ordered topological linear spaces