Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (7): 781-788.

• Article • Previous Articles     Next Articles

PROBABILISTIC NORM OF OPERATORS AND RESONANCE THEOREMS

Xiao Jianzhong1, Zhu Xinghua 2   

  1. 1. Department of Mathematics, Jiangsu Yancheng Educational Institute, Yancheng 224002, P. R. China;
    2. Department of Mathematics, Jiangsu Yancheng Teachers College, Yancheng 224002, P. R. China
  • Received:1997-01-23 Revised:1999-01-21 Online:1999-07-18 Published:1999-07-18

Abstract: In this paper, a simplified definition of boundedness of the sets in probabilistic normed linear space was introduced. By means of the probabilistic norm of linear operators, the linear operator theory on probabilistic normed linear space was further studied. On probabilistic normed linear operator space, some resonance theorems dealing with probabilistic bounded sets, probabilistic semi-bounded sets, and probabilistic non-unbounded sets are obtained.

Key words: unsaturated soil, non-linear, elasto-plasticity, consolidation, finite element method

2010 MSC Number: 

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