【摘要】 本文研究了双周期解析函数的Poincaré边值问题,给出了一阶导数取H类边值的双周期解析函数的一种积分表示式,并由此出发,得到了齐次Poincaré问题的线性无关解的数目和非齐次Poincaré问题可解的充分必要条件,还求出了问题的一般解。更多还原

【Abstract】 This paper discusses the Pomcare boundary value problem of duobly periodic analytic functions. We give an integral repersentation for such a function whose derivate possesses the Holder continuty property on the boundary.The problem under discussion is transformed to solve a singular integral eguation.The number of linearly independent solutions of the homogeneous problem is obtained. The conditions of solvability and the general solutions of non-homogeneous problems are also obtained.更多还原