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| 多复变广义解析函数的一个带位移的非线性边值问题 | |
| 引用本文： | 杨贺菊,段丽凌,谢永红.多复变广义解析函数的一个带位移的非线性边值问题[J].河北师范大学学报(自然科学版),2007,31(5):582-586,589. |
| 作者姓名： | 杨贺菊 段丽凌 谢永红 |
| 作者单位： | 1. 河北科技大学,理学院,河北,石家庄,050018 2. 河北经贸大学,数学与统计学院,河北,石家庄,050061 3. 河北师范大学,数学与信息科学学院,河北,石家庄,050016 |
| 摘 要： | 研究了多复变广义解析函数的一个带位移的非线性边值问题,首先定义了相关算子并研究了它们的性质,并将边值问题化为积分方程,最后利用积分方程理论和Schauder不动点原理证明了解的存在性. |
| 关 键 词： | 多复变广义解析函数 带位移的非线性边值问题 积分方程 Schauder不动点 |
| 文章编号： | 1000-5854（2007）05-0582-05 |
| 修稿时间： | 2006-03-082006-04-20 |
A Nonlinear Boundary Value Problem with a Kind of Shift for Generalized Analytic Functions of Several Complex Variables |
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| YANG He-ju,DUAN Li-ling,XIE Yong-hong.A Nonlinear Boundary Value Problem with a Kind of Shift for Generalized Analytic Functions of Several Complex Variables[J].Journal of Hebei Normal University,2007,31(5):582-586,589. | |
| Authors: | YANG He-ju DUAN Li-ling XIE Yong-hong |
| Institution: | 1. College of Science, Hebei University of Science and Technology, Hebei Shijiazhuang 050011, China; 2. College of Mathematics and Statistics, Hebei University of Economics and Business, Hebei Shijiazhuang 050061, China; 3.College of Mathematics and Information Science,Hebei Normal University,Hebei Shijiazhuang 050016,China |
| Abstract: | A nonlinear boundary value problem with a kind of shift for generalized analytic tunctions ot several complex variables is discussed. Firstly, relevant operators are defined and their natures are explored. Meanwhile, the boundary value problem is transformed into a integral fanttion. Finally, the existence of the solution to the above function is proved by the application of the integral function and Schauder fixed point theorems. |
| Keywords: | generalized analytic functions of several complex variables a nonlinear boundary value problem with a kind of shift integral equation Schauder fixed theorem |
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