Nonlinear Semigroups and Differential Inclusions in Probabilistic Normed Spaces

Zhang Shisheng; Chen Yuqing

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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.

Citation:

Zhang Shisheng, Chen Yuqing. Nonlinear Semigroups and Differential Inclusions in Probabilistic Normed Spaces[J]. Applied Mathematics and Mechanics, 1998, 19(9): 759-772.

Citation:

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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Nonlinear Semigroups and Differential Inclusions in Probabilistic Normed Spaces

Department of Mathematics, Sichuan University, Chengdu, 610064, P.R. China

Received Date: 1996-12-30
Rev Recd Date: 1998-02-20
Publish Date: 1998-09-15

Abstract

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.
- semigroup of nonlinear contractions,
- probabilistic normed space,
- Crandall-Liggett’s exponential formula,
- semi-inner produet,
- accretive mappings

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References(16)

References

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