福州大学学报（自然科学版）Issue(5)：594-598,5.DOI:10.7631/issn.1000-2243.2015.05.0594
一类带位移的广义Riemann边值问题的封闭形式解
The closed form solution of generalized Riemann boundary value problem with shift
摘要
Abstract
In this paper the generalized Riemann boundary value problem with shift Φ+[α( t) ] =G1(t)Φ-(t) +G2(t)Φ-(t) +f(t), (t∈L), is investigated in the class of piecewise analytic func-tions.The boundary L is a simple closed Lyapunov curve in complex plane C, let D+be the interior domain , and D-=C\D+,α( t) is a homeomorphism onto itself which preserves or changes the orien-tation of L, the coefficients G1(t), G2(t), f(t),α′(t) belong to Hμ(t).When one case of G1(t) ± G2 ( t)≡const is satisfied , the paper establishes the closed form of the solution of problem above , which is better than some past works .Finally, an example is given to verify the correctness of the solu-tion process and the closed form solution .关键词
广义Riemann边值问题/Markushevich问题/位移/共轭/求解Key words
generalized Riemann boundary value problem/Markushevich problem/shift/conjuga-tion/solution分类
数理科学引用本文复制引用
陈金玉..一类带位移的广义Riemann边值问题的封闭形式解[J].福州大学学报（自然科学版）,2015,(5):594-598,5.基金项目
国家自然科学基金资助项目（61272043）；重庆市基础与前沿研究计划资助项目 （）
