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| k解析函数的一般复合边值问题 | |
| 引用本文： | 汤获,杨静宇,邓冠铁. k解析函数的一般复合边值问题[J]. 兰州理工大学学报, 2012, 38(4): 158-161 |
| 作者姓名： | 汤获 杨静宇 邓冠铁 |
| 作者单位： | 1. 北京师范大学数学科学学院,北京100875;赤峰学院数学与统计学院,内蒙古赤峰024000 2. 赤峰学院数学与统计学院,内蒙古赤峰024000;大连理工大学数学科学学院,辽宁大连116024 3. 北京师范大学数学科学学院,北京,100875 |
| 基金项目： | 国家自然科学基金,高校博士点基金,内蒙古自然科学基金,内蒙古高等学校科研基金 |
| 摘 要： | 研究开口弧段Γ上k解析函数的Riemann边值问题与封闭的Liapunov曲线L上k解析函数的Hilbert边值问题复合而成的一般复合边值问题,利用消去法将问题转化为Hilbert边值问题加以求解,并给出可解性条件和解的具体表达式. |
| 关 键 词： | k解析函数 开口弧段 Riemann边值问题 Hilbert边值问题 复合边值问题 |
General compound boundary value problem of k-analytic functions |
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| TANG Huo , YANG Jing-yu , DENG Guan-tie. General compound boundary value problem of k-analytic functions[J]. Journal of Lanzhou University of Technology, 2012, 38(4): 158-161 | |
| Authors: | TANG Huo YANG Jing-yu DENG Guan-tie |
| Affiliation: | 1(1.School of Mathematical Science,Beijing Normal University,Beijing 100875,China;2.School of Mathematics and Statistics,Chifeng University,Chifeng 024000,China;3.School of Mathematical Science,Dalian University of Technology,Dalian 116024,China) |
| Abstract: | The general compound boundary value problem which was compounded by the Riemann boundary value problem on an open arc-segment Γ and Hilbert boundary value problem on closed Liapunov curve L was studied.By using the method of elimination,the compound boundary value problem was transformed into the Hilbert boundary value problem and then solved.The conditions of its solvability and concrete expression of its solution were also given out. |
| Keywords: | k-analytic functions open arc-segment Riemann boundary value problem Hilbert boundary value problem compound boundary value problem |
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