| 具有超复函数Cauchy核的奇异积分方程组 |
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| 引用本文： | 刘春根. 具有超复函数Cauchy核的奇异积分方程组[J]. 南开大学学报(自然科学版), 1995, 28(2): 30-33 |
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| 作者姓名： | 刘春根 |
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| 作者单位： | 南开大学数学系 |
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| 摘 要： | 本文讨论了超复函数带Ｃａｕｃｈｙ核的奇异积分方程组，得到了指标公式和非齐次超复函数奇异积分方程组的可解条件。在可解条件下，得到了非齐次超复函数的奇异积分方程组的求解公式。
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| 关 键 词： | 奇异积分方程组，相联奇异积分方程组，超复函数组，边值问题，指标 |
ON SINGULUR INTEGRAL EQUATION FOR HYPERCOMPLEX FUNCTIONAL SYSTEMS WITH CAUCHY KERNEL |
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| Liu Chungen. ON SINGULUR INTEGRAL EQUATION FOR HYPERCOMPLEX FUNCTIONAL SYSTEMS WITH CAUCHY KERNEL[J]. Acta Scientiarum Naturalium University Nankaiensis, 1995, 28(2): 30-33 |
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| Authors: | Liu Chungen |
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| Abstract: | In this paper,it is considered about some singular integral equations for hypercomplex functional systems with Cauchy kernel. The index formular has been obtained, and also the solvable conditions for the system of inhomogeneous singular integral equation has been acquired. If these conditions is satisfied,the general solution formular for the system of inhomogeneous singular integral equation has been obtained. |
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| Keywords: | system of singular integral equations system of adjoint singular integral equations system of hypercomplex functions boundary value problem and index |
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