DigitalCommons@WayneState

Title

Discrete Approximations of Differential Inclusions in Infinite-Dimensional Spaces

Authors

Boris S. Mordukhovich, Wayne State UniversityFollow

Document Type

Technical Report

Abstract

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

2005.09

Disciplines

Applied Mathematics | Mathematics

AMS Subject Classification

49J52, 49M25, 90C30

Comments

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

Recommended Citation

Mordukhovich, Boris S., "Discrete Approximations of Differential Inclusions in Infinite-Dimensional Spaces" (2005). Mathematics Research Reports. 31.
https://digitalcommons.wayne.edu/math_reports/31