Towards fully discretized differential inclusions

被引：28

作者：

Grammel, G ^{[1
]}

机构：

[1] Tech Univ Munich, Ctr Math, D-80290 Munich, Germany

来源：

SET-VALUED ANALYSIS | 2003年 / 11卷 / 01期

关键词：

differential inclusion; Euler scheme; extremal point;

D O I：

10.1023/A:1021981217050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Euler schemes for the calculation of the solution set for a differential inclusion are investigated. Under Lipschitz and convexity conditions on the set-valued map the usual O(h)-approximation, h denoting the time step, is preserved, if one uses only boundary points in each step. An O(rooth) approximation is achieved, if one uses only extremal points. So, in case that the extremal sets are finite, a full discretization of the differential inclusion is performed.

引用

页码：1 / 8

页数：8

共 13 条

[1]

ARTSTEIN Z, 1994, SET-VALUED ANAL, V2, P7

[2]

Aubin JP., 1991, Viability Theory

[3] A GENERALIZATION OF CARATHEODORYS THEOREM [J].