By Mikhail Kamenskii
The speculation of set-valued maps and of differential inclusion is constructed in recent times either as a box of his personal and as an method of keep an eye on idea. The ebook bargains with the idea of semilinear differential inclusions in countless dimensional areas. during this atmosphere, difficulties of curiosity to purposes don't think neither convexity of the map or compactness of the multi-operators. those assumption implies the improvement of the speculation of degree of noncompactness and the development of a level concept for condensing mapping. Of specific curiosity is the method of the case whilst the linear half is a generator of a condensing, strongly non-stop semigroup. during this context, the life of suggestions for the Cauchy and periodic difficulties are proved in addition to the topological homes of the answer units. Examples of purposes to the keep an eye on of transmission line and to hybrid structures are offered.