ON THE GROWTH OF SOLUTIONS OF HIGHER-ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS 被引量：6

ON THE GROWTH OF SOLUTIONS OF HIGHER-ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS

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摘要 Using Nevanlinna theory of the value distribution of meromorphic functions, the author investigates the problem of the growth of solutions of two types of algebraic differential equation and obtains some results. Using Nevanlinna theory of the value distribution of meromorphic functions, the author investigates the problem of the growth of solutions of two types of algebraic differential equation and obtains some results.

作者高凌云

出处《Acta Mathematica Scientia》 SCIE CSCD 2002年第4期459-465,共7页 数学物理学报（B辑英文版）

基金 The project Supported by NNSF of China(19971052)

关键词 the growth algebraic differential equations algebroid solutions the growth algebraic differential equations algebroid solutions

分类号 O175 [理学—数学]

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相关文献

参考文献6

1Steven B. Bank,Ilpo Laine.On the zeros of meromorphic solutions of second-order linear differential equations[J].Commentarii Mathematici Helvetici.1983(1) 被引量：1
2Steven B. Bank,Robert P. Kaufman.On the growth of meromorphic solutions of the differential equation (y′) m =R(z, y)[J].Acta Mathematica.1980(1) 被引量：1
3Gao Lingyun.On admissible solutions of two types of systems of algebraic differential equations in the complex plane[].Acta Mathematica Sinica.2000 被引量：1
4Yi Hongxun.Uniqueness of meromorphic functions and a question of C.C. Yang[].Complex Variables.1990 被引量：1
5Bank S B.On the growth of solutions of algebraic differential equation[].Tran of the Amer Math Society.1978 被引量：1
6He Yuzan,Xiao Xiuzhi.Algebroid functions and ordinary differential equations[]..1988 被引量：1

同被引文献12

1高凌云.一类复微分方程的代数体函数可允许解[J].数学研究,1997,30(3):272-277. 被引量：6
2Ling-yun Gao.On the Growth of Components of Meromorphic Solutions of Systems of Complex Differential Equations[J].Acta Mathematicae Applicatae Sinica,2005,21(3):499-504. 被引量：10
3曹廷彬,仪洪勋.关于单位圆内解析系数的线性微分方程的复振荡理论[J].数学物理学报（A辑）,2008,28(6):1046-1057. 被引量：14
4高凌云.THE GROWTH OF SOLUTIONS OF SYSTEMS OF COMPLEX NONLINEAR ALGEBRAIC DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2010,30(3):932-938. 被引量：19
5陈宗煊.关于高阶线性微分方程亚纯解的增长率[J].数学学报（中文版）,1999,42(3):551-558. 被引量：45
6陈宗煊,黄志波,张然然.ON DIFFERENCE EQUATIONS RELATING TO GAMMA FUNCTION[J].Acta Mathematica Scientia,2011,31(4):1281-1294. 被引量：8
7高凌云.Malmquist型复差分方程组[J].数学学报（中文版）,2012,55(2):293-300. 被引量：26
8高凌云.关于两类复微分方程组的允许解[J].数学学报（中文版）,2000,43(1):149-156. 被引量：23
9高凌云.ESTIMATES OF N -FUNCTION AND m-FUNCTION OF MEROMORPHIC SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENCE EQUATIONS[J].Acta Mathematica Scientia,2012,32(4):1495-1502. 被引量：11
10高凌云.THE GROWTH ORDER OF SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENCE EQUATIONS[J].Acta Mathematica Scientia,2013,33(3):814-820. 被引量：17

引证文献6

1Ling-yun Gao.On the Growth of Components of Meromorphic Solutions of Systems of Complex Differential Equations[J].Acta Mathematicae Applicatae Sinica,2005,21(3):499-504. 被引量：10
2Michael Gil'.PERTURBATIONS OF ZEROS OF SOLUTIONS TO SECOND ORDER DIFFERENTIAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS[J].Acta Mathematica Scientia,2012,32(3):1083-1092.
3王钥,高凌云.关于一类高阶非线性代数微分方程解的增长级[J].应用数学学报,2014,37(1):109-118. 被引量：1
4高凌云.关于一类复差分方程的亚纯解[J].数学年刊（A辑）,2014,35(2):193-202. 被引量：7
5王钥,张庆彩,杨明华.复差分-微分方程组的解的增长级[J].数学物理学报（A辑）,2014,34(6):1337-1347. 被引量：1
6Michael Gil’.Inequalities for Sums and Products of Complex Zeros of Solutions to ODE with Polynomial Right Parts[J].Communications on Applied Mathematics and Computation,2023,5(4):1524-1533.

二级引证文献18

1江秀海,高凌云.复微分方程组亚纯解的分量的Nevanlinna特征估计(英文)[J].数学杂志,2006,26(4):361-365.
2Ling-yun Gao.m Components-Admissible Solutions of Systems of Higher-Order Partial Differential Equations on C^n[J].Acta Mathematicae Applicatae Sinica,2008,24(2):211-220.
3高凌云.A RESULT OF SYSTEMS OF NONLINEAR COMPLEX ALGEBRAIC DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2010,30(5):1507-1513. 被引量：3
4王钥,高凌云.关于一类高阶非线性代数微分方程解的增长级[J].应用数学学报,2014,37(1):109-118. 被引量：1
5高凌云.关于一类复差分方程的亚纯解[J].数学年刊（A辑）,2014,35(2):193-202. 被引量：7
6王钥,韩树新,梁建英.q-差分复合函数方程组的亚纯解的特征估计（英文）[J].应用数学,2019,32(1):195-200.
7王钥,张庆彩,杨明华.复差分-微分方程组的解的增长级[J].数学物理学报（A辑）,2014,34(6):1337-1347. 被引量：1
8王钥,张庆彩.两类复差分方程组的亚纯允许解[J].应用数学学报,2015,38(1):80-88. 被引量：5
9王钥,张庆彩.复微分方程组的代数解（英文）[J].数学杂志,2015,35(3):477-485.
10金瑾,黄雕.一类复高阶非线性代数微分方程解的研究[J].毕节学院学报（综合版）,2016,34(1):126-131.

1何育赞,肖修治.ON MALMQUIST'S THEOREM OF ALGEBRAIC DIFFERENTIAL EQUATIONS[J].Chinese Science Bulletin,1983,28(2):165-169.
2高凌云.EXPRESSION OF MEROMORPHIC SOLUTIONS OF SYSTEMS OF ALGEBRAIC DIFFERENTIAL EQUATIONS WITH EXPONENTIAL COEFFICIENTS[J].Acta Mathematica Scientia,2011,31(2):541-548. 被引量：9
3GAO Ling-yun (Department of Mathematics, Jinan University, Guangzhou 510632, China).Supplement to “on the Conjecture of Gackstatter and Laine Concerning Algebraic Differential Equations”[J].Chinese Quarterly Journal of Mathematics,2003,18(3):230-233.
4孙道椿,高宗升.ON THE OPERATIONS OF ALGEBROID FUNCTIONS[J].Acta Mathematica Scientia,2010,30(1):247-256. 被引量：10
5GaoLingyun.ALGEBRAIC SOLUTIONS OF ALGEBRAIC DIFFERENTIAL EQUATIONS[J].Applied Mathematics(A Journal of Chinese Universities),2005,20(1):45-50. 被引量：1
6高凌云.THE GROWTH OF SOLUTIONS OF SYSTEMS OF COMPLEX NONLINEAR ALGEBRAIC DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2010,30(3):932-938. 被引量：19
7SU Xian-feng,GAO Ling-yun.On the Order of the Solutions of Systems of Complex Algebraic Differential Equations[J].Chinese Quarterly Journal of Mathematics,2011,26(2):196-199. 被引量：1
8Su Xian-feng,Li Xiao-meng,He Zhong-wei,Ji You-qing.On Results the Growth of Meromorphic Solutions of Algebraic Diferential Equations[J].Communications in Mathematical Research,2013,29(4):345-350.
9陈宗煊,黄志波,郑秀敏.ON PROPERTIES OF DIFFERENCE POLYNOMIALS[J].Acta Mathematica Scientia,2011,31(2):627-633. 被引量：5
10黄小杰,兰福祥.On the value distribution of f^nf^(k)[J].Journal of Chongqing University,2007,6(4):302-304.

Acta Mathematica Scientia

2002年第4期

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ON THE GROWTH OF SOLUTIONS OF HIGHER-ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS 被引量：6

参考文献6

同被引文献12

引证文献6

二级引证文献18

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