Discrete Approximations and Periodic Solutions of Differential Inclusions

被引：1

作者：

Klimov, V. S. ^{[1
]}

Dem'yankov, N. A. ^{[1
]}

机构：

[1] Yaroslavl State Univ, Yaroslavl, Russia

来源：

DIFFERENTIAL EQUATIONS | 2013年 / 49卷 / 02期

关键词：

Periodic Solution; Singular Point; Space Versus; Galerkin Method; Differential Inclusion;

D O I：

10.1134/S0012266113020109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two numerical methods for solving a periodic boundary value problem for a system of differential inclusions, the Galerkin method and the polygon method. To the original problem, we assign a sequence of its discretizations. Conditions under which the existence of solutions of the periodic boundary value problem implies the solvability of its discrete versions are presented. The convergence of the sequence of approximate solutions is analyzed.

引用

页码：235 / 245

页数：11

共 14 条

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