Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (9): 815-829.

• 论文 • 上一篇    下一篇

NONLINEAR SEMIGROUPS AND DIFFERENTIAL INCLUSIONS IN PROBABILISTIC NORMED SPACES

张石生, 陈玉清   

  1. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China
  • 收稿日期:1996-12-30 修回日期:1998-02-20 出版日期:1998-09-18 发布日期:1998-09-18
  • 基金资助:

    Project supported by the National Natural Science Foundation of China

NONLINEAR SEMIGROUPS AND DIFFERENTIAL INCLUSIONS IN PROBABILISTIC NORMED SPACES

Zhang Shisheng, Chen Yuqing   

  1. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China
  • Received:1996-12-30 Revised:1998-02-20 Online:1998-09-18 Published:1998-09-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China

摘要: The purpose of this poper is to introduce and study the semi-groups of nonlinearcontractions in probabilislic normed spaces and to establish the Crandall-Linggett's exponential formula for some kind of accrelive mappings in probabilistic normed spaces. As applications. these results are utilized to study, the Cauchy problem for akind of differential inclusions with accretive mappings in probabilistic normed spaces.

关键词: semigroup of nonlinear contractions, probabilistic normed space, Crandall-Liggett's exponential formula, semi-inner product.accretive mappings

Abstract: The purpose of this poper is to introduce and study the semi-groups of nonlinearcontractions in probabilislic normed spaces and to establish the Crandall-Linggett's exponential formula for some kind of accrelive mappings in probabilistic normed spaces. As applications. these results are utilized to study, the Cauchy problem for akind of differential inclusions with accretive mappings in probabilistic normed spaces.

Key words: semigroup of nonlinear contractions, probabilistic normed space, Crandall-Liggetts exponential formula, semi-inner product.accretive mappings

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