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On global existence of solutions of abstract nonlinear mixed integrodifferential equation with nonlocal condition. (English) Zbl 1179.45021
The authors investigate the global existence of solutions of nonlinear Volterra-Fredholm integrodifferential equations with nonlocal condition in Banach spaces and establish that solutions exist under certain hypotheses.

MSC:
45N05 Abstract integral equations, integral equations in abstract spaces
47H10 Fixed-point theorems
45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
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