| 某类沿可求长闭曲线的超复奇异积分方程 |
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| 引用本文： | 曾岳生.某类沿可求长闭曲线的超复奇异积分方程[J].怀化学院学报,1988(5). |
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| 作者姓名： | 曾岳生 |
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| 作者单位： | 怀化师专数学科 |
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| 摘 要： | 本文研究某类沿可求长闭曲线的超复奇异积分方程的求解问题,将超复奇异积分方程归结为超解析函数的Riesmnn边值问题,建立了方程的可解性,并给出了解的表达式。
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| 关 键 词： | 可求长闭曲线 超复函数 超解析函数 边值问题 奇异积分方程 指标 |
The Some Class of Singular Integral Equations for Hypercomplex Fancction in the Rectifiiable Close Curve |
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| Zeng Yuesheng.The Some Class of Singular Integral Equations for Hypercomplex Fancction in the Rectifiiable Close Curve[J].Journal of Huaihua University,1988(5). |
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| Authors: | Zeng Yuesheng |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper deala with the solutions of the Singular integral equations
and
where Γ is a rectifiable closed curve which satisfies the, condition OOOr(δ)=O(δ)(δ→0)
are hyper complex junctions. We
first give an equivalent Riemann boundary value problem of the hyperanalytic function in the rectifiable closed curves, and have not only established an explicit form of the general solution of the singular integral equations ( 1 )and( 2 ), but, also found the necessary and sufficient conditions for the solvability of the above equations. And the reration between index and number of the linear independent solutions has been obtained. |
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| Keywords: | rectifiable closed curve hypercomplex function hyperanalytic function boundary value problem Singular integral equation index |
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