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The solution of nonlinear integro-differential equations of mixed type in Banach spaces. (Chinese. English summary) Zbl 0852.45018

Using some new comparison results, maximal and minimal solutions, the unique solution, and iterative approximation of solutions of the initial value problem for nonlinear integro-differential equations of mixed type in Banach spaces are investigated. The results obtained unify and extend many recent results.

MSC:

45N05 Abstract integral equations, integral equations in abstract spaces
45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
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