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Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces. (English) Zbl 1075.34051
Summary: We study a semilinear differential equation with nonlocal initial conditions in Banach spaces. We derive conditions for the existence of mild solutions.

MSC:
34G20 Nonlinear differential equations in abstract spaces
47D06 One-parameter semigroups and linear evolution equations
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