| Solution with Singularity of Order One for Singular Integral Equation with Hilbert Kernal |
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| 作者姓名： | ZhongShou-guo ChenJing-song |
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| 作者单位： | SchoolofMathematicsandStatistics,WuhanUniversity,Wuhan430072,Hubei,China |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina (1 9971 0 64)andZiqiangInventionFoundationofWuhanUniversity (2 0 1 990 336) |
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| 摘 要： | The basic sets of solutions in class H( or H^*) for the characteristic equation and its adjoint equation with Hilbert kernel are given respectively. Thus the expressions of solutions and its solvable conditions are simplified. On this basis the solutions and the solvable conditions in class H1^* as well as the generalized Noether theorem for the complete equation are obtained.
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| 关 键 词： | 奇异积分方程 Hilbert核 特征方程 伴随方程 Noether定理 |
Solution with singularity of order one for singular integral equation with Hilbert kernal |
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| ZhongShou-guo ChenJing-song.Solution with Singularity of Order One for Singular Integral Equation with Hilbert Kernal[J].Wuhan University Journal of Natural Sciences,2004,9(1):6-12. |
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| Authors: | Zhong Shou-guo Chen Jing-song |
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| Institution: | (1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan Hubei, China |
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| Abstract: | The basic sets of solutions in class H( or H*) for the characteristic equation and its adjoint equation with Hilbert kernel are given respectively. Thus the expressions of solutions and its solvable conditions are simplified. On this basis the solutions and the solvable conditions in class H* 1 as well as the generalized Noether theorem for the complete equation are obtained. |
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| Keywords: | Hilbert kernel solution with singularity of order one basic set of solutions Noether theorem characteristic equation and its adjoint equation |
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