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Nonlinear semigroups and evolution governed by “generalized” dissipative operators. (English) Zbl 0818.34033
The authors consider the abstract problem \({du\over dt}\in Au(t)+ f(t)\) for \(t\in (0, T)\) with \(u(0)= x\) in a real Banach space \(X\). The aim of this paper is to study the existence and uniqueness of mild solutions of the above Cauchy problem.
Reviewer: L.Hacia (Poznań)

MSC:
34G20 Nonlinear differential equations in abstract spaces
47H20 Semigroups of nonlinear operators
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