半周期Riemann边值问题

Half-Periodic Riemann Boundary Value Problem

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摘要文讨论半周期Riemann边值问题,利用周期延拓的方法将所述问题转化为周期Riemann边值问题,利用已有的对周期Riemann边值问题的解法得到典则函数,然后把一般问题转化为跳跃问题。结合对解作不同的要求来讨论半周期Riemann边值问题,然后给出原问题的可解条件及有解情形下的封闭解。

作者吕志新

机构地区天津职业技术师范大学理学院

出处《应用数学进展》 2018年第7期883-889,共7页 Advances in Applied Mathematics

基金国家自然科学基金,编号NSFC11501414。

关键词周期Riemann边值问题指标奇异积分拟周期函数 Periodic Riemann Boundary Value Problem Index Singular Integral Pseudo-Periodic Function

参考文献1

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应用数学进展

2018年第7期

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