| 多复变广义全纯函数的一个带Haseman位移的非线性边值问题 |
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| 引用本文： | 汤获,李书海. 多复变广义全纯函数的一个带Haseman位移的非线性边值问题[J]. 吉林大学学报(理学版), 2009, 47(5): 909-915 |
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| 作者姓名： | 汤获 李书海 |
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| 作者单位： | 赤峰学院,数学学院,内蒙古,赤峰,024000;赤峰学院,数学学院,内蒙古,赤峰,024000 |
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| 基金项目： | 国家自然科学基金，内蒙古高等学校科研项目基金 |
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| 摘 要： | 研究多复变广义全纯函数的一个带Haseman位移的非线性边值问题. 通过定义相关算子并研究它们的性质, 得到了多复变广义全纯函数的Plemelj公式, 并将边值问题转化为积分方程问题, 利用积分方程方法和Schauder不动点原理证明了解的存在性, 得到了解的积分表达式.
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| 关 键 词： | 多复变广义全纯函数 Haseman位移 非线性边值问题 |
| 收稿时间： | 2008-12-11 |
A Nonlinear Boundary Value Problem with Haseman Shift for Generalized Holomorphic Functions of Several Complex Variables |
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| TANG Huo,LI Shu-hai. A Nonlinear Boundary Value Problem with Haseman Shift for Generalized Holomorphic Functions of Several Complex Variables[J]. Journal of Jilin University: Sci Ed, 2009, 47(5): 909-915 |
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| Authors: | TANG Huo LI Shu-hai |
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| Affiliation: | College of Mathematics, Chifeng University, Chifeng 024000, Inner Mongolia Autonomous Region, China |
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| Abstract: | A nonlinear boundary value problem with Haseman shift for generalized holomorphic functions of several complex variables is discussed.Firstly,relevant operators are defined and their properties are explored,then Plemelj formula for generalized holomorphic functions of several complex variables is obtained.Secondly,the boundary value problem is transformed into an integral equation problem.Finally,applying the theory of integral equation and the Schauder fixed point theorem,the existence of the solution to t... |
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| Keywords: | generalized holomorphic function of several complex variables Haseman shift nonlinear boundary value problem |
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