| REPRESENTATION THEOREM AND ONE-ITERATION THEOREM FOR FREDHOLM INTEGRAL EQUATION OF THE FIRST KIND Ax=y |
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| 作者姓名： | 云天铨 |
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| 作者单位： | Department of |
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| 基金项目： | This work was supported by National Science Foundation of China |
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| 摘 要： | In this paper,two theorems are presented.The representation theorem states:if the Fredholm integral equation of the first kind Ax=y,with bounded L_2 kernel,has a uniquesolution(?),then(?),whereThe one-iteration theorem states:(?)can be achieved in one iteration by(?)=x_0 g_0 A*(y-Ax_0)iff one of the following conditions is satisfied.
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| 收稿时间： | 1988-04-05 |
Representation theorem and one-iteration theorem for Fredholm integral equation of the first kindAx ≐ y |
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| Yun Tian-quan.REPRESENTATION THEOREM AND ONE-ITERATION THEOREM FOR FREDHOLM INTEGRAL EQUATION OF THE FIRST KIND Ax=y[J].Applied Mathematics and Mechanics(English Edition),1989,10(7):593-597. |
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| Authors: | Yun Tian-quan |
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| Institution: | Department of Engineering Mechanics, South China University of Technology, Guangzhou |
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| 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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