|
|||||
|
|
| Koch曲线上的齐次Riemann边值问题 | |
| 引用本文： | 阮正顺,罗艾花. Koch曲线上的齐次Riemann边值问题[J]. 数学的实践与认识, 2012, 42(12): 118-122 |
| 作者姓名： | 阮正顺 罗艾花 |
| 作者单位： | 1. 武汉工程大学理学院智能机器人湖北省重点实验室,湖北武汉,430073 2. 中南民族大学数学与统计学学院,湖北武汉,430073 |
| 基金项目： | 国家自然科学基金，中南民族大学中央高校基金科研业务费专项资金 |
| 摘 要： | 当L为典型的分形曲线一Koch曲线时,提出了Riemann边值问题,但在一般情况下,在Koch曲线上所做的Cauchy型积分无意义.当对已知函数G(z),g(z)增加一定的解析条件,同时利用一列Cauchy型积分的极限函数,对定义在Koch曲线上的齐次Riemann边值问题进行了讨论,并得到与经典解析函数边值问题相类似的结果. |
| 关 键 词： | Riemann边值问题 Koch曲线 H(?)lder条件 |
Homogeneous Riemann Boundary Value Problems for Koch Curve |
|
| Ruan Zheng-shun , LUO Ai-hua. Homogeneous Riemann Boundary Value Problems for Koch Curve[J]. Mathematics in Practice and Theory, 2012, 42(12): 118-122 | |
| Authors: | Ruan Zheng-shun LUO Ai-hua |
| Affiliation: | 1.School of Science,Hubei Province Key Laboratory of Intelligent Robot,Wuhan Institute of Technology, Wuhan China,430073) (2.School of Mathematics and Statistics,South-Central University For Nationalities,Wuhan 430073,China) |
| Abstract: | In this paper,when Lis substituted for Koch curve,Riemann boundary value problems was defined,but generally speaking,Cauchy-type integral is meaningless on Koch curve.When some analytic conditions are attached to functions G(z)and g(z),through the limit function of a sequence of Cauchy-type integrals,the homogeneous Riemann boundary problems on Koch curve are introduced,some similar results was attained with the classical boundary value problems for analytic functions. |
| Keywords: | Riemann boundary value problem koch curve Holder condition |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |