| 带Carleman位移的奇异积分方程近似解法 |
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| 引用本文： | 王子亭. 带Carleman位移的奇异积分方程近似解法[J]. 中国石油大学学报(自然科学版), 1991, 0(4) |
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| 作者姓名： | 王子亭 |
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| 作者单位： | 石油大学数理系 |
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| 摘 要： | 讨论了可加连续算子方程近似解问题,证明了在空L_p中拉格朗日插值方法适用于带Carleman位移和共轭奇异积分方程的充要条件。
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| 关 键 词： | 积分 插值方法 积分方程 [非线性算子] [共轭积分] |
THE APPROXIMATE SOLUTION OF THE SINGULAR INTEGRAL EQUATIONS WITH CARLEMAN SHIFES |
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| Wang Ziting. THE APPROXIMATE SOLUTION OF THE SINGULAR INTEGRAL EQUATIONS WITH CARLEMAN SHIFES[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1991, 0(4) |
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| Authors: | Wang Ziting |
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| Affiliation: | Dept. of Mathematics and Physics |
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| Abstract: | An approximate solution of operator equation under the additional conditions is discussed in this paper.The necessary and sufficient conditions are presented.So the method of Lagrange interpolation can be applied to the singular integral equation with Carleman shife. |
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| Keywords: | Integration Interpolation method Integral equation Conjugate integral Non-linear operator |
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