Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (2): 165-171.
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Abstract:
In this paper it is given that direct method of solution for general singular integral equations on the bounds for two classes of boundless regions, where coefficient and kernel density in equations fulfill certain analytic conditions on their boundless regions.
Key words: ｓｉｎｇｕｌａｒｉｎｔｅｇｒａｌｅｑｕａｔｉｏｎ, ｄｉｒｅｃｔｍｅｔｈｏｄｏｆｓｏｌｕｔｉｏｎ, ｉｎｆｉｎｉｔｅｐｏｉｎｔ
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Zhong Shouguo Wu Jianming . Singular integral equations on the bounds for two classes of boundless regions[J].Acta mathematica scientia,Series A, 1999, 19(2): 165-171.
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http://121.43.60.238/sxwlxbA/EN/Y1999/V19/I2/165
１ ＰｅｔｅｒｓＡＳ．ＴｈｅｓｏｌｕｔｉｏｎｏｆｃｅｒｔａｉｎｉｎｔｅｇｒａｌｅｑｕａｔｉｏｎｓｗｉｔｈｋｅｒｎｅｌｓK（?，ζ）／Z－ζ．Ｃｏｍｍ．ｏｎＰｕｒｅａｎｄ ＡｐｐｌＭａｔｈ，１９６５，１８（１－２）：１２９－１４６ ２ 路见可．奇异积分方程直接解法（Ⅰ）．武汉大学学报（自然科学版），１９７５，（１）：１２－２７ ３ 路见可．奇异积分方程直接解法（Ⅱ）．武汉大学学报（自然科学版），１９７５，（４）：４４－５７ ４ 路见可．高阶奇异积分及其求解奇积分方程中的应用．武大科技（数学专辑），１９７７，（２）：１０６－１２２ ５ 路见可．推广的留数定理及其应用．武汉大学学报（自然科学版），１９７８，（３）：１－８ ６ 钟寿国．第二类无界多连通域上推广的留数定理．数学物理学报，１９９４，１４（２）：１６３－１６７ ７ 钟寿国．再论奇异积分方程组直接解法的可解条件．数学物理学报，１９９６，１６（４）：４３７－４７８ ８ 钟寿国．推广的留数定理及其应用．武汉大学出版社，１９９３
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