A Class of Delay Differential Variational Inequalities
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- 作者：Xing Wang ; Ya-wei Qi ; Chang-qi Tao…
- 关键词：Delay differential variational inequality ; Variational inequality ; Dynamical system ; Carathéodory weak solution ; Algorithm
- 刊名：Journal of Optimization Theory and Applications
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：172
- 期：1
- 页码：56-69
- 全文大小：
- 刊物主题：Calculus of Variations and Optimal Control; Optimization; Optimization; Theory of Computation; Applications of Mathematics; Engineering, general; Operation Research/Decision Theory;
- 出版者：Springer US
- ISSN：1573-2878
- 卷排序：172
文摘
In the paper, we introduce a class of delay differential variational inequalities consisting of a system of delay differential equations and variational inequalities. The existence conclusion of Carathéodory’s weak solution for delay differential variational equalities is obtained. Furthermore, an algorithm for solving the delay differential variational inequality is shown, and the convergence analysis for the algorithm is given. Finally, a numerical example is given to verify the validity of the algorithm.