| 一类不连续发展型集值方程的广义单调迭代法 |
| |
| 引用本文： | 田岩,周磊.一类不连续发展型集值方程的广义单调迭代法[J].华中科技大学学报(自然科学版),2002,30(6):105-107. |
| |
| 作者姓名： | 田岩 周磊 |
| |
| 作者单位： | 1. 华中科技大学图像识别与人工智能研究所,图像信息处理与智能控制教育部重点实验室
2. 华中科技大学,数学系 |
| |
| 摘 要： | 利用序理论及广义单调迭代法研究了一类非线性不连续发展型集值方程，引入序理论给出其迭代格式，在空间中通过一个正凸锥定义一个序结构，并给出此问题的迭代格式（即广义单调迭代法），应用序理论得到连续问题迭代解的收敛线果，还给出一个合理的离散格式及其数值解法，在局部上半利曾希茨条件下，研究解集的收敛性。
|
| 关 键 词： | 不连续发展型 集值方程 广义单调迭代法 收敛性 |
| 文章编号： | 1671-4512(2002)06-0105-03 |
| 修稿时间： | 2000年6月25日 |
General monotone iterative method for a class of discontinuous evolution set-valued equation |
| |
| Tian Yan Zhou Lei Dr., Institute for Pattern Recognition & AI,Huazhong Univ. of Sci. & Tech.,Wuhan ,China..General monotone iterative method for a class of discontinuous evolution set-valued equation[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2002,30(6):105-107. |
| |
| Authors: | Tian Yan Zhou Lei Dr Institute for Pattern Recognition & AI Huazhong Univ of Sci & Tech Wuhan China |
| |
| Institution: | Tian Yan Zhou Lei Dr., Institute for Pattern Recognition & AI,Huazhong Univ. of Sci. & Tech.,Wuhan 430074,China. |
| |
| Abstract: | A class of nonlinear discontinuous set valued evolution equation was discussed by using order theory and the general monotone iterative method. An order structure was defined via a positive convex cone in a linear space, and an iterative scheme (i.e. general monotone iterative method) for the nonlinear discontinuous problems was given. Applying order theory, the convergence of iterative solution for continuous problem was obtained. A rational discrete form and the numerical method for the discrete equation were given. Under the locally upper Lipschitz condition, the convergence of solution, the convergence of solution set was studied. |
| |
| Keywords: | set valued equation general monotone iterative method convergence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
