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Existence of mild solutions for semilinear evolution equations with non-local initial conditions. (English) Zbl 1179.34063
The authors study the existence of mild solutions for a class of semilinear evolution equations with nonlocal initial conditions. They mainly suppose that the nonlocal term $g$ is continuous or depends only on the value of $u$ in the interval $[\epsilon, T]$, where $\epsilon$ is small enough.

##### MSC:
 34G20 Nonlinear ODE in abstract spaces 47D06 One-parameter semigroups and linear evolution equations 34A12 Initial value problems for ODE, existence, uniqueness, etc. of solutions
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##### References:
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