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Existence of mild solutions for nonlocal integro-differential equations in Banach spaces. (English) Zbl 1266.34103

Using the Hausdorff measure of noncompactness and a fixed point argument, the authors establish the existence of mild solutions to certain semilinear nonlocal initial value problems in Banach spaces.

MSC:

34G20 Nonlinear differential equations in abstract spaces
47D06 One-parameter semigroups and linear evolution equations
47N20 Applications of operator theory to differential and integral equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
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