| CONTINUATION METHOD OF NONLINEAR INTEGRAL EQUATIONS |
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| 引用本文： | YANG Fenghang,SUN Jing(Department of Mathematics,Tianjin University,Tianiin 300072,China). CONTINUATION METHOD OF NONLINEAR INTEGRAL EQUATIONS[J]. 系统科学与复杂性, 1995, 0(3) |
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| 作者姓名： | YANG Fenghang SUN Jing(Department of Mathematics Tianjin University Tianiin 300072 China) |
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| 作者单位： | Department of Mathematics，Tianjin University，Tianiin 300072，China |
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| 摘 要： | ＣＯＮＴＩＮＵＡＴＩＯＮＭＥＴＨＯＤＯＦＮＯＮＬＩＮＥＡＲＩＮＴＥＧＲＡＬＥＱＵＡＴＩＯＮＳ￥ＹＡＮＧＦｅｎｇｈａｎｇ；ＳＵＮＪｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＴｉａｎｊｉｎＵｎｉｖｅｒｓｉｔｙ，Ｔｉａｎｉｉｎ３０００７２，Ｃ...
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CONTINUATION METHOD OF NONLINEAR INTEGRAL EQUATIONS |
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| YANG Fenghang,SUN Jing. CONTINUATION METHOD OF NONLINEAR INTEGRAL EQUATIONS[J]. Journal of Systems Science and Complexity, 1995, 0(3) |
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| Authors: | YANG Fenghang SUN Jing |
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| Abstract: | In this paper a continuation method for the Urysohn nonlinear equation is to be established by the use of a homotopy transformation, and the homotopy equation will result in the Cauchy problem of a differentio-integral equation, where the form of the integral equation is linear. Thus this continuation method possesses linearized characteristic and it can be applied to the numerical solution for nonlinear integral equation very conveniently and effectively. |
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| Keywords: | Continuation method Urysohn equation homotopy transformation numerical solution. |
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