摘要
文章给出具有理函数系数Rk的一阶微分方程u'=∑~n_(k=0)R_k(z)u^k,n≥3的不同亚纯解个数上界M的新估计,及线性无关亚纯解个数上界L的新估计.
In this paper,we give new estimates for the maximum number M of distinct meromorphic solutions and for the maximum number L of linearly independent meromorphic solutions of the first order differential equa-tion u′=∑n k =0 Rk (z)uk ,n ≥ 3 where each Rk (k =1 ,2,…,n)is a rational function and Rn0.
出处
《广州大学学报（自然科学版）》
CAS
2015年第5期1-8,共8页
Journal of Guangzhou University:Natural Science Edition
基金
supported by the Visiting Scholar Program of Department of Mathematics and Statistics at Curtin University of Technology,the support with the NSF of China(11271090)
NSF of Guangdong Province(2015A030313346
S2012010010121)
关键词
亚纯解
线性无关解
微分方程
有理系数
meromorphic solutions
linearly independent solutions
differential equation
rational coefficients
