*(English)*Zbl 1037.34052

The paper is concerned with the existence of extremal solutions to a class of multivalued boundary value problems and evolution inclusion with m-accretive operators. Recently, similar problems have been considered in many papers. For example, more deeper results of such kind can be found in the book by *Sh. Hu* and *N. S. Papageorgiou* [Handbook of multivalued analysis. Volume II: Applications. Dordrecht: Kluwer Academic Publishers (2000; Zbl 0943.47037)], and in the references therein.

Reviewerâ€™s remark: The paper contains a lot of inaccuracies. For example 1. the space $E$ must be separable; 2. according to the proof of theorem 4 the function $x\left(t\right)$ is measurable only, so the definition 3 of a solution is incorrect, etc., theorem 11 contains nothing new since the mild solution sets coincide with the integral solution sets.

##### MSC:

34G25 | Evolution inclusions |

34A60 | Differential inclusions |

34B15 | Nonlinear boundary value problems for ODE |