On the set of solutions of a class of nonlinear evolution inclusions (Q2366208)

The present paper deals with properties of the solution set of the Cauchy problem for nonlinear evolution inclusions of the form \(x'(t)\in A(t,x(t))+f(t)\), a.e., and \(x'(t)\in A(t,x(t))+F(t,x(t))\), a.e., where \(A\) and \(F\) are multivalued mappings. Besides of nonemptiness of the solution sets to the above inclusions also some of their selection property is investigated.