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

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

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作  者:云天铨 

机构地区:[1]Department of Engineering Mechanics, South China University of Technology, Guangzhou

出  处:《Applied Mathematics and Mechanics(English Edition)》1989年第7期593-597,共5页应用数学和力学(英文版)

基  金: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 kindAx=y, with bounded L2 kernel, has a uniquesolutionThe one-iteration theorem states: x can be achieved in one iteration byiffone of the following conditions is satisfied.In this paper, two theorems are presented. The representation theorem stales: ij theFredholm integral equation of the first kindAx=y, with bounded L2 kernel, has a uniquesolutionThe one-iteration theorem states: x can be achieved in one iteration byiffone of the following conditions is satisfied.

关 键 词:ITERATION FIRST kernel satisfied CALCULATING EXPLICIT meaningful CONVERGENT GETTING choice 

分 类 号:O3,O1[理学—力学]

 

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