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EXTENSION OF SOLUTIONS TO RIEMANN BOUNDARY VALUE PROBLEMS AND ITS APPLICATION
【摘要】 <正>In this paper,solutions of Riemann boundary value problems with nodes are extended to the case where they may have singularties of high order at the nodes.Moreover, further extension is discussed when the free term of the problem involved also possesses singularities at the nodes.As an application,certain singular integral equation is discussed.
【Abstract】 In this paper,solutions of Riemann boundary value problems with nodes are extended to the case where they may have singularties of high order at the nodes.Moreover, further extension is discussed when the free term of the problem involved also possesses singularities at the nodes.As an application,certain singular integral equation is discussed.
【关键词】 Riemann boundary value problem;
class K_N;
index and canonical function in class K_N;
almost bounded;
almost of order k;
characteristic singular integral equation;
【Key words】 Riemann boundary value problem; class K_N; index and canonical function in class K_N; almost bounded; almost of order k; characteristic singular integral equation;
【Key words】 Riemann boundary value problem; class K_N; index and canonical function in class K_N; almost bounded; almost of order k; characteristic singular integral equation;
- 【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2007年04期
- 【分类号】O175.8
- 【被引频次】4
- 【下载频次】59