【摘要】 本文讨论了两类双准周期解析函数的Poincaré问题,给出了这个问题的解的一种积分表示式,并利用奇异积分方程的理论得到了齐次问题线性无关解的数目以及非齐次问题可解的充分必要条件和一般解。更多还原

【Abstract】 This paper discusses the poincaré problems of two kinds of double quasi—periodicanalytic functions.The integral representations of the solutions are given.Usingtheory of singular integral equations,we give the numbers of linearly independentsolutions of the homogenous problems and the sufficient and necessary conditionsof solvabilities of the non-homogenous problems.The general solutions of the problemscan also be obtained.更多还原