| 抛物型发展微分包含的解与解集的性质 |
| |
| 引用本文： | 王志华. 抛物型发展微分包含的解与解集的性质[J]. 应用数学和力学, 1999, 20(3): 314-318 |
| |
| 作者姓名： | 王志华 |
| |
| 作者单位： | 山东电力高等专科学校工商系, 济南 250002 |
| |
| 摘 要： | 在Banach空间中研究与时间有关的抛物型发展微分包含,这一问题与非线性分布参数控制系统的研究密切相关.我们证明了mild-解的存在性,同时研究了解集的拓扑性质.本文的研究发展和推广J.P.Aubin等人的方向和结果.
|
| 关 键 词： | 发展算子 集值映象 微分包含 mild-解 不动点定理 |
| 收稿时间： | 1997-11-22 |
| 修稿时间： | 1997-11-22 |
Existence of Solutions for Parabolic Type Evolution Differential Inclusions and the Property of the Solution Set |
| |
| Wang Zhihua. Existence of Solutions for Parabolic Type Evolution Differential Inclusions and the Property of the Solution Set[J]. Applied Mathematics and Mechanics, 1999, 20(3): 314-318 |
| |
| Authors: | Wang Zhihua |
| |
| Affiliation: | Department of Business & Economy, Shangdong Electrical Power College, Jinan 250002, P. R. China |
| |
| Abstract: | In this paper, parabolic type differential inclusions with time dependenoe are discussed and this problem is related to the study of the nonlinear distributed parameter control systems. An existence theorem of mild_solutions is proved, and a property of the solution set is given. The directions and the results by J.P.Aubin et al are generalized and improved. |
| |
| Keywords: | evolution operator set_valued map differential inclusion mild_solution fixed_point theorem |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学》下载全文 |
