| 解析函数的非正则型Riemann-Hilbert边值逆问题 |
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| 引用本文： | 鄢盛勇.解析函数的非正则型Riemann-Hilbert边值逆问题[J].兰州理工大学学报,2011,37(2):141-145. |
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| 作者姓名： | 鄢盛勇 |
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| 作者单位： | 四川教育学院,数学系,四川,成都,611130 |
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| 基金项目： | 四川省教育厅重点项目基金(09ZA091) |
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| 摘 要： | 给出解析函数的非正则型Riemann-Hilbert边值逆问题的提法,在将之转化为非正则型Riemann-Hilbert边值问题的基础上,利用解析函数的非正则型Riemann边值问题的相关理论,讨论此边值逆问题的可解性,给出它们的可解条件和解表达式.
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| 关 键 词： | Riemann-Hilbert边值逆问题 Riemann-Hilbert边值问题 非正则型 |
Non-normal inverse Riemann-Hilbert boundary value problems for analytic functions |
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| YAN Sheng-yong.Non-normal inverse Riemann-Hilbert boundary value problems for analytic functions[J].Journal of Lanzhou University of Technology,2011,37(2):141-145. |
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| Authors: | YAN Sheng-yong |
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| Institution: | YAN Sheng-yong(Dept.of Mathematics,Sichuan Educational College,Chengdu 611130,China) |
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| Abstract: | The general mathematical formulation of non-normal inverse Riemann-Hilbert boundary value problems for analytic functions was given.On the basis of transferring these inverse boundary value problems into Riemann-Hilbert boundary value problems of non-normal type and correlative theory of non-normal Riemann boundary value problems for analytic functions,the solvability of the boundary value problems was discussed.Their solvable conditions and the representations of the solutions were given. |
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| Keywords: | inverse Riemann-Hilbert boundary value problem Riemann-Hilbert boundary value problem non-normal |
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