| 高阶奇异积分方程组 |
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| 引用本文： | 李显方. 高阶奇异积分方程组[J]. 中南大学学报(自然科学版), 1990, 0(3) |
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| 作者姓名： | 李显方 |
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| 作者单位： | 中国矿冶学院应用数学力学系 |
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| 摘 要： | 本文讨论了在Uadamard主值意义下的高阶奇异积分方程组,在正则型的情况下,获得了方程组的指标计算公式,方程组可解的充要条件以及相应齐次方程组的线性无关解的个数。
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| 关 键 词： | 高阶 奇异积分 指标定理/Noether 可解 线性无关解 |
SYSTEMS OF HIGHER ORDER SINGULAR INTEGRAL EQUATIONS |
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| Li Xianfang. SYSTEMS OF HIGHER ORDER SINGULAR INTEGRAL EQUATIONS[J]. Journal of Central South University:Science and Technology, 1990, 0(3) |
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| Authors: | Li Xianfang |
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| Affiliation: | Li Xianfang Department of Applied Mathematics and Mechanics |
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| Abstract: | In this paper,the author discussed the systems of higher order singularintegral equations(SHSIE)in the sense of the Hadamard principal value.ForSHSIE of regular type,the sufficient and necessary condition is obtained for theSHSIE,a formula calculating its index is presented,and the number of linearlyindependent solution of the corresponding homogeneous SHSIE is estimated. |
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| Keywords: | higher order singular integral index theorem/noetherian solvability linearly independent solution |
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