| GENERAL SOLUTION OF A 2-D WEAK SINGULAR INTEGRAL EQUATION WITH CONSTRAINT AND ITS APPLICATIONS |
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| 作者姓名： | 云天铨 |
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| 作者单位： | Yun Tianquan (Department of Mechanics，South China University of Technology，Guangzhou 510641，P. R. China)(Received Jan. 22. 1996. Revised Feb. 10. 1996) |
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| 摘 要： | Hertz'ssolutionTheProjectsupportedbytheNaturalScienceFoundationofGuangdongProvinceofChina.IntroductionTheintegralequationsubjecttoconstraintp(s,te)=o,for(s,W)-(r,o)6Q={(r,O)lF(r,o)>c.}'(l.2)hasbeenstudiedinl].Themultipleintegrationsimilartothelefthandsi…
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| 关 键 词： | Radon transform Abel integral equation theorem mean value Hertz’s solution |
| 收稿时间： | 1996-01-22 |
General solution of A 2-D weak singular integral equation with constraint and its applications |
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| Yun Tianquan.GENERAL SOLUTION OF A 2-D WEAK SINGULAR INTEGRAL EQUATION WITH CONSTRAINT AND ITS APPLICATIONS[J].Applied Mathematics and Mechanics(English Edition),1997,18(8):749-755. |
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| Authors: | Yun Tianquan |
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| Institution: | Department of Mechanics, South China University of Technology, Guangzhou 510641, P. R. China |
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| Abstract: | In this paper, the solution, more general than 1], of a weak singular integralequationsubject to constraintwhere k and F are given continuous functions: (s,) is a local polar coordinatingwin origin at M(r,): (r) is the global polar coordinating with origin atis the boundary contour Q of the consideredrange andN are mean values. The solution shown in type (2.19) of 1] is a special case of theabove solution and only suits F(r,) =w. The solution of a rigid cone contact withelastic half space. more simple and clear than Love's (1939), is given as an example ofapplication. |
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| Keywords: | Radon transform Abel integral equation theorem mean value Hertz's solution |
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