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Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (7): 643-650.

• 论文 • 上一篇    下一篇

EXISTENCE AND COMPARISON RESULTS FOR SOLUTIONS OF RANDOM INTEGRAL AND DIFFERENTIAL EQUATIONS

丁协平   

  1. Sichuan Normal College, Cnengau
  • 收稿日期:1985-05-20 出版日期:1986-07-18 发布日期:1986-07-18

EXISTENCE AND COMPARISON RESULTS FOR SOLUTIONS OF RANDOM INTEGRAL AND DIFFERENTIAL EQUATIONS

Ding Xie-ping   

  1. Sichuan Normal College, Cnengau
  • Received:1985-05-20 Online:1986-07-18 Published:1986-07-18

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摘要： This paper is the continuation of [1]. In this paper, we give another criteria of the existence of solutions for nonlinear random Volterra integral. A comparison theorem and the existence of random extremal solutions are also obtained by using the notion of ordering with respect to a cone. Our theorems generalize the corresponding results of Vaughan [2,3]and Lakshmikantham[4,5].

关键词: moving belts, viscoelasticity, Lie group, dynamic response

Abstract: This paper is the continuation of [1]. In this paper, we give another criteria of the existence of solutions for nonlinear random Volterra integral. A comparison theorem and the existence of random extremal solutions are also obtained by using the notion of ordering with respect to a cone. Our theorems generalize the corresponding results of Vaughan [2,3]and Lakshmikantham[4,5].

Key words: moving belts, viscoelasticity, Lie group, dynamic response

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