| 简单弧上带Cauchy核的第一类奇异积分方程的新解法 |
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| 引用本文： | 程华娇,劳毅慧,陈先伟. 简单弧上带Cauchy核的第一类奇异积分方程的新解法[J]. 大学数学, 2009, 25(5) |
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| 作者姓名： | 程华娇 劳毅慧 陈先伟 |
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| 作者单位： | 广东省中山市第一中学,广东,中山,528403;广西民族师范学院,数计系,广西,崇左,532400;湖南科技大学,数学与计算科学学院,湖南,湘潭,411201 |
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| 摘 要： | 提供了简单弧上带Cauchy核的第一类奇异积分方程1πi∫ltf-(tt)0dt+21πi∫lk(t,t0)f(t)dt=g(t0)的一个新解法,给出了解的具体表达式与运算实例.本文的方法可应用于更广泛的情形.其中k(t,t0)为多项式,t0∈l,t0不为l的端点,f(t)在端点的奇性不到一阶.
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| 关 键 词： | 简单弧 Cauchy核 第一类奇异积分方程 线性方程组 |
The New Method of Solving the First Category of Singular Intergral Equation with Cauchy Core Along Simple Curve |
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| CHENG Hua-jiao,LAO Yi-hui,CHEN Xian-wei. The New Method of Solving the First Category of Singular Intergral Equation with Cauchy Core Along Simple Curve[J]. College Mathematics, 2009, 25(5) |
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| Authors: | CHENG Hua-jiao LAO Yi-hui CHEN Xian-wei |
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| Abstract: | This paper mainly supply a new method of solving the first category of singular intergral equation with Cauchy core along simple curve1πi∫lf(t)t-t0dt+12πi∫lk(t,t0)f(t)dt=g(t0)also show the solution's specific expression and caculating example.The method of this paper can be used in more wide situation.While k(t,t0) is polynomial,t0 belongs to l,but is not the end point,the order of f(t) at the end point is smaller than one. |
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| Keywords: | simple curve Cauchy core the first category of singular intergral equation system of linear equations |
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