| 概率赋范空间中的非线性半群与微分包含* |
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| 引用本文： | 张石生,陈玉清.概率赋范空间中的非线性半群与微分包含*[J].应用数学和力学,1998,19(9):759-772. |
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| 作者姓名： | 张石生 陈玉清 |
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| 作者单位： | 四川大学数学系, 成都 610064 |
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| 摘 要： | 本文的目的是在概率赋范空间中引入和研究非线性压缩半群,并对增生映象建立Crandal-Ligget指数公式.作为应用,我们将应用这些结果研究概率赋范空间中一类具增生映象的微分包含的Cauchy问题解的存在性.
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| 关 键 词： | 非线性压缩半群 概率赋范空间 Crandall-Liggett指数公式 半内积 增生映象 |
| 收稿时间： | 1996-12-30 |
Nonlinear Semigroups and Differential Inclusions in Probabilistic Normed Spaces |
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| Zhang Shisheng,Chen Yuqing.Nonlinear Semigroups and Differential Inclusions in Probabilistic Normed Spaces[J].Applied Mathematics and Mechanics,1998,19(9):759-772. |
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| Authors: | Zhang Shisheng Chen Yuqing |
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| Institution: | Department of Mathematics, Sichuan University, Chengdu, 610064, P.R. China |
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| Abstract: | The purpose of this paper is to introduce and study the semi_groups of nonlinear contractions in probabilistic normed spaces and to establish the Crandall_Liggett's exponential formula for some kind of accretive mappings in probabilistic normed spaces. As applications, these results are utilized to study the Cauchy problem for a kind of differential inclusions with accretive mappings in probabilistic normed spaces. |
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| Keywords: | semigroup of nonlinear contractions probabilistic normed space Crandall_Liggett's exponential formula semi_inner produet accretive mappings |
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