ON GLOBAL MEROMORPHIC SOLUTIONS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS 被引量：1

ON GLOBAL MEROMORPHIC SOLUTIONS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS

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摘要 The main purpose of this article is to study the existence theories of global meromorphic solutions for some second-order linear differential equations with meromorphic coefficients, which perfect the solution theory of such equations. The main purpose of this article is to study the existence theories of global meromorphic solutions for some second-order linear differential equations with meromorphic coefficients, which perfect the solution theory of such equations.

作者孔荫莹孙道椿

机构地区 School of Mathematics and Computational Science LMBA School of Mathematics Science of South China Normal University

出处《Acta Mathematica Scientia》 SCIE CSCD 2013年第2期423-429,共7页 数学物理学报（B辑英文版）

基金 Supported by the National Natural Science Foundation of China(11101096 ) Guangdong Natural Science Foundation (S2012010010376, S201204006711)

关键词 Second-order linear differential equations global meromorphic solutions mero-morphic continuation Second-order linear differential equations global meromorphic solutions mero-morphic continuation

分类号 O174.52 [理学—基础数学]

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参考文献6

1Laine I. Nevanlinna Theory and complex differential equations. New York: Walter de Gruyter, 1993.
2Gao Shian, Chen Zongxuan, Chen Tewei. Complex oscillation theory of linear differential equations. Wuhan: Press of Mid China Science and Technology University, 1998 (in Chinese).
3Bank S, Laine I. On the zeros of meromorphic solutions of second order linear differential equations. Comment Math Helv, 1983, 58:656~677.
4Bank S, Gundersen G, Laine I. Meromorphic solutions of the Riccati differential equations. Ann Acad Sci Fenn Math, 1981, 6:369-398.
5Kong Y Y, Sun D C. Meromorphic solutions and algebraic solutions of some second-order complex differ- ential equations. Chinese Journal of Contemporary Mathematics, 2011, 32(3): 285 -292.
6Water Rudin. Real and complex analysis. McGraw-Hill Publishing Co, 1987.

引证文献1

1孔荫莹,郭晓晶,孙道椿.ON ALGEBRAIC SOLUTIONS OF THE SECOND-ORDER COMPLEX DIFFERENTIAL EQUATIONS WITH ENTIRE ALGEBRAIC ELEMENT COEFFICIENTS[J].Acta Mathematica Scientia,2016,36(3):733-739. 被引量：1

二级引证文献1

1孙道椿,霍颖莹,孔荫莹,柴富杰.THE INTEGRATION OF ALGEBROIDAL FUNCTIONS[J].Acta Mathematica Scientia,2017,37(6):1861-1869.

1MAO Zhi-qiang,LIU Hui-fang.On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficients[J].Chinese Quarterly Journal of Mathematics,2009,24(2):278-283. 被引量：2
2Zong Xuan CHEN,Kwang Ho SHON.On the Growth and Fixed Points of Solutions of Second Order Differential Equations with Meromorphic Coefficients[J].Acta Mathematica Sinica,English Series,2005,21(4):753-764. 被引量：17
3张晓梅,孙道椿.EXISTENCE OF MEROMORPHIC SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2013,33(2):600-608.
4Shunzhou WU,Xiumin ZHENG.Growth of Meromorphic Solutions of Complex Linear Differential-Difference Equations with Coefficients Having the Same Order[J].Journal of Mathematical Research with Applications,2014,34(6):683-695. 被引量：1
5Tingbin CAO Hongxun YI.ON THE COMPLEX OSCILLATION OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS[J].Journal of Systems Science & Complexity,2007,20(1):135-148. 被引量：1
6CaoTingbin,ChenZongxuan,ZhengXiumin,TuJin.ON THE ITERATED ORDER OF MEROMORPHIC SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2005,21(2):111-122. 被引量：3
7敖雁,徐辰武.四向杂交设计QTL分析的极大似然方法[J].作物学报,2006,32(1):51-56. 被引量：7

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ON GLOBAL MEROMORPHIC SOLUTIONS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS 被引量：1

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