概率赋范空间中的非线性半群与微分包含  

Nonlinear Semigroups and Differential Inclusions in Probabilistic Normed Spaces

作　　者：张石生[1] 陈玉清[1] 

机构地区：[1]四川大学数学系

出　　处：《应用数学和力学》1998年第9期759-772,共14页Applied Mathematics and Mechanics

基　　金：国家自然科学基金

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·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.

关 键 词：非线性压缩半群 概率赋范空间 微分包含 

分 类 号：O177.3[理学—数学] O152.7[理学—基础数学]