Document Type

Technical Report


In this paper we study discrete approximations of continuous-time evolution systems governed by differential inclusions with nonconvex compact values in infinite-dimensional spaces. Our crucial result ensures the possibility of a strong Sobolev space approximation of every feasible solution to the continuous-time inclusion by its discrete-time counterparts extended as Euler's "broken lines." This result allows us to establish the value and strong solution convergences of discrete approximations of the Bolza problem for constrained infinite-dimensional differential/evolution inclusions under natural assumptions on the initial data.

Number in Series



Applied Mathematics | Mathematics

AMS Subject Classification

49J52, 49M25, 90C30


Research was partly supported by the National Science Foundation under grant DMS-0304989 and by the Australian National Research Council under grant DP-0451168