| ON DIRECT METHOD OF SOLUTION FOR A CLASS OF SINGULAR INTEGRAL EQUATIONS |
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| 作者姓名： | 杜志华 杜金元 |
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| 作者单位： | School of Mathematics and Statistics Wuhan University，School of Mathematics and Statistics Wuhan University，Wuhan 430072，China，Wuhan 430072，China |
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| 基金项目： | RFDP of Higher Education and NNSF of China，武汉大学校科研和教改项目 |
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| 摘 要： | In this article, by introducing characteristic singular integral operator and associate singular integral equations (SIEs), the authors discuss the direct method of solution for a class of singular integral equations with certain analytic inputs. They obtain both the conditions of solvability and the solutions in closed form. It is noteworthy that the method is different from the classical one that is due to Lu.
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| 关 键 词： | 奇异积分方程 直接法解 积分算子 可解条件 |
| 收稿时间： | 2004-11-29 |
| 修稿时间： | 2005-08-26 |
On direct method of solution for a class of singular integral equations |
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| Zhihua Du,Jinyuan Du.ON DIRECT METHOD OF SOLUTION FOR A CLASS OF SINGULAR INTEGRAL EQUATIONS[J].Acta Mathematica Scientia,2007,27(2):301-307. |
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| Authors: | Zhihua Du Jinyuan Du |
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| Institution: | aSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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| Abstract: | In this article, by introducing characteristic singular integral operator and associate singular integral equations (SIEs), the authors discuss the direct method of solution for a class of singular integral equations with certain analytic inputs. They obtain both the conditions of solvability and the solutions in closed form. It is noteworthy that the method is different from the classical one that is due to Lu. |
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| Keywords: | Direct method of solution conditions of solvability characteristic singular integral operator associate singular integral equations |
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