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.
出处
《应用数学和力学》
CSCD
北大核心
1998年第9期759-772,共14页
Applied Mathematics and Mechanics
基金
国家自然科学基金
关键词
非线性压缩半群
概率赋范空间
微分包含
semigroup of nonlinear contractions, probabilistic normed space, Crandall_Liggett's exponential formula, semi_inner produet, accretive mappings
