关于代数微分方程亚纯解增长级的Gol'dberg定理的进一步结果  

Further Results of Gol'dberg's Theorem Concerning the Growth of Meromorphic Solutions of Algebraic Differential Equations

作　　者：戚建明[1,2,3] 李叶舟[4] 袁文俊[2,3] 

机构地区：[1]上海电机学院数理教学部,上海201306 [2]广州大学数学与信息科学学院,广州510006 [3]广州大学数学与交叉科学广东普通高校重点实验室,广州510006 [4]北京邮电大学理学院,北京100876

出　　处：《数学物理学报（A辑）》2013年第4期759-765,共7页Acta Mathematica Scientia

基　　金：国家自然科学基金(11271090,11101048,10871130,11171184);上海高校青年教师培养资助计划(ZZSDJ12020);广东省自然科学基金(S2012010010121);上海电机学院重点培育项目(12C104,12C401,10XKJ01)资助;“陈省身数学研究所访问学者计划”的资助

摘　　要：运用正规族理论,给出一类高阶代数微分方程Gol'dberg定理的进一步推广.类似地给出了一类特殊的代数微分方程组的亚纯解的增长性估计.同时举例说明文中的结果是有意义的.In this paper,by means of the normal family theory,we give a general estimate result of Gol'dberg's theorem concerning finite growth order of meromorphic solutions of higher order algebraic differential equations.We also estimate the growth order of meromorphic solutions of a type system of a special algebraic differential equations.We also give some examples to show that our results are interesting.

关 键 词：亚纯函数 正规族 增长级 代数微分方程组 

分 类 号：O175.4[理学—数学]