一种推广的周期Riemann边值问题及其基本解组

一种推广的周期Riemann边值问题及其基本解组 A Generalized Periodic Riemann Boundary Value Problem and Its Basic Set of Solutions 钟寿国 ZHONG Shou-guo 1 2 first-author 陈荆松 CHEN Jing-song 1 2 武汉大学数学与统计学院 武汉大学数学与统计学院 School of Mathematics and Stastistics,Wuhan University School of Mathematics and Stastistics,Wuhan University 武汉大学数学与统计学院,湖北,武汉,430072 武汉大学数学与统计学院,湖北,武汉,430072 在±∞i处提出一种条件推广的周期Riemann边值问题并给出解及可解条件 通过引入基本解组和广义相联周期边值问题的概念使这类边值问题的可解条件有明确的几何意义（正交化条件）,而其特例推广了已有的工作 A periodic Riemann boundary value problem generalized condition at ±∞i is posed and its solutions and solvable conditions are given.By introducting concepts of basic set of solution and generalized adjoint periodic Riemann boundary value problem,we make that the solvable conditions for this problem possess clear geometric interpretation （the conditions of orthogorality）.Moreover,the two speical cases in the above boundary value problem return and improve related woks appeared up to now. 周期Riemann边值问题 基本解组 广义相联周期边值问题 狭义相联周期边值问题 periodic Riemann boundary value problem basic set of solutions generalized adjoint periodic boundary value problem narrow adjoint periodic boundary value problem O174 国家教委博士基金（98048627）;国家自然科学基金（19971064）;武汉大学自强基金资助项目（201990336） 2003-05-01 2021-04-01 5