Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (12): 1175-1188.

• Articles • 上一篇    下一篇

RANDOM DIRECTIONAL CONTRACTORS AND THEIR APPLICATIONS

丁协平   

  1. Sichuan Normal University, Chengdu
  • 收稿日期:1984-10-03 出版日期:1986-12-18 发布日期:1986-12-18
  • 基金资助:

    Projects Supported by the Science Fund of the Chinese Academy of Sciences

RANDOM DIRECTIONAL CONTRACTORS AND THEIR APPLICATIONS

Ding Xie-ping   

  1. Sichuan Normal University, Chengdu
  • Received:1984-10-03 Online:1986-12-18 Published:1986-12-18
  • Supported by:

    Projects Supported by the Science Fund of the Chinese Academy of Sciences

摘要: In this paper, as the generalizations of Altman’s directional contractors[4,5] and Lee and Padgett’s random contractors[1,2] we introduce the concept of random directional contractors for set-valued random operators. Using the new concept and transfinite induction, we show several existence theorems to solutions of nonlinear set-valued random operator equations. Our theorems improve and generalize the corresponding results in [1,2,4,5,11]. Next, some applications of our results to nonlinear random integral and differential equations are given.

关键词: mixed finite element method, shallow water equation, error estimate, current and silt sedimentation

Abstract: In this paper, as the generalizations of Altman’s directional contractors[4,5] and Lee and Padgett’s random contractors[1,2] we introduce the concept of random directional contractors for set-valued random operators. Using the new concept and transfinite induction, we show several existence theorems to solutions of nonlinear set-valued random operator equations. Our theorems improve and generalize the corresponding results in [1,2,4,5,11]. Next, some applications of our results to nonlinear random integral and differential equations are given.

Key words: mixed finite element method, shallow water equation, error estimate, current and silt sedimentation

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