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ON METHOD OF SOLUTION TO ONE CLASS OF SINGULAR INTEGRAL EQUATIONS WITH SINGULARITY OF ORDER ONE
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作者 Pingrun Li 《Annals of Differential Equations》 2015年第2期159-164,共6页
In this paper, we study one kind of singular integral equations with singularity of order one. By the generalized Plemelj formula, this class of equations are transformed into a system of linear algebraic equations. I... In this paper, we study one kind of singular integral equations with singularity of order one. By the generalized Plemelj formula, this class of equations are transformed into a system of linear algebraic equations. In particular, we prove the existence of solution to the equation. The general solutions and the conditions of solvability are obtained in function class H. 展开更多
关键词 singular integral equation singularity of order one linear algebraic equations Hlder continuous function class H generalized plemelj formula
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