Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (7): 593-597.

• 论文 • 上一篇    下一篇

REPRESENTATION THEOREM AND ONE-ITERATION THEOREM FOR FREDHOLM INTEGRAL EQUATION OF THE FIRST KIND Ax=y

云天铨   

  1. Department of Engineering Mechanics, South China University of Technology, Guangzhou
  • 收稿日期:1988-04-05 出版日期:1989-07-18 发布日期:1989-07-18
  • 基金资助:
    This work was supported by National Science Foundation of China

REPRESENTATION THEOREM AND ONE-ITERATION THEOREM FOR FREDHOLM INTEGRAL EQUATION OF THE FIRST KIND Ax=y

Yun Tian-quan   

  1. Department of Engineering Mechanics, South China University of Technology, Guangzhou
  • Received:1988-04-05 Online:1989-07-18 Published:1989-07-18
  • Supported by:
    This work was supported by National Science Foundation of China

摘要: In this paper, two theorems are presented. The representation theorem stales: ij theFredholm integral equation of the first kind Ax=y, with bounded L2 kernel, has a uniquesolution x, The ,where .The one-iteration theorem states: x can be achieved in one iteration by iffone of the following conditions is satisfied.

Abstract: In this paper, two theorems are presented. The representation theorem stales: ij theFredholm integral equation of the first kind Ax=y, with bounded L2 kernel, has a uniquesolution x, The ,where .The one-iteration theorem states: x can be achieved in one iteration by iffone of the following conditions is satisfied.

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