ABSTRACT

The purpose of the present chapter is to survey and announce some recent results (from [7] and [20]) concerning the existence of solutions and the topological structure of the solution set to the following constrained initial value problem () https://www.w3.org/1998/Math/MathML"> u ′ ∈ φ ( t , u ) ,   u ( t ) ∈ K , t ∈ J , u ( 0 ) = x 0 ∈ K , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429218576/b5164108-1897-4637-a93d-46e387408a02/content/eq5541.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>