广州大学学报:自然科学版
廣州大學學報:自然科學版
엄주대학학보:자연과학판
Journal og Guangzhou University:Natural Science Edition
2012年
6期
1-5
,共5页
袁文俊%李叶舟%戚建明
袁文俊%李葉舟%慼建明
원문준%리협주%척건명
亚纯函数%正规族%增长级%代数微分方程组
亞純函數%正規族%增長級%代數微分方程組
아순함수%정규족%증장급%대수미분방정조
Meromorphic function%normal family%growth order%algebraic differential equation system
运用正规族理论,文章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.同时举例说明本文的结果是有意义的.
運用正規族理論,文章給齣一類高階代數微分方程Gol’dberg定理的進一步推廣.類似地給齣瞭一類特殊的代數微分方程組的亞純解的增長性估計.同時舉例說明本文的結果是有意義的.
운용정규족이론,문장급출일류고계대수미분방정Gol’dberg정리적진일보추엄.유사지급출료일류특수적대수미분방정조적아순해적증장성고계.동시거례설명본문적결과시유의의적.
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 e- quations. We also give some examples to show that our results are interesting.