排序方式: 共有27条查询结果,搜索用时 15 毫秒
1.
陈玉 《纯粹数学与应用数学》2009,25(2):261-267
研究了一类亚纯函数系数的线性微分方程的解的增长性问题,得到了齐次和非齐线性微分方程亚纯解的增长级、超级、二级不同零点收敛指数的精确估计. 相似文献
2.
一类高阶微分方程亚纯解的增长性 总被引:2,自引:0,他引:2
研究了几种类型的高阶线性亚纯系数微分方程的亚纯解的增长性,对方程的亚纯解的增长率得到了精确估计. 相似文献
3.
In this paper, authors investigate the order of growth and the hyper order of solutions of a class of the higher order linear differential equation, and improve results of M. Ozawa^[6], G. Gundersen^[7] and J.K. Langley^[8], Li Chun-hong^[11]. 相似文献
4.
LIYEZHOU CHENZONGXUAN 《高校应用数学学报(英文版)》1998,13(4):403-408
In this paper the order and the hyper-order of the solutions of higher-order homoge-neous linear differential equations is investigated. 相似文献
5.
In this paper, we investigate the growth of solutions of higher order linear differ-ential equations with meromorphic coefficients. Under certain conditions, we obtain precise estimation of growth order and hyper-order of solutions of the equation. 相似文献
6.
In this paper, we consider a higher order differential equation and obtain a precise estimate of the order of growth and the hyper-order of solutions to the equation. 相似文献
7.
陈宗煊 《中国科学A辑(英文版)》2002,45(3)
This paper investigates the growth of solutions of the equation f" + e-zf′ + Q(z)f= 0 wherethe order (Q)= 1. When Q(z) = h(z)ebz, h(z) is nonzero polynomial, b ≠ -1 is a complex constant, every solution of the above equation has infinite order and the hyper-order 1. We improve the results of M. Frei, M.Ozawa, G. Gundersen and J. K. Langley. 相似文献
8.
复振荡理论中关于超级的角域分布 总被引:2,自引:1,他引:1
设f_1和f_2是微分方程f″+A(z)f=0的两个线性无关的解,其中A(z)是无穷级整函数且超级σ_2(A)=0.令E=f_1f_2.本文研究了微分方程f″+A(z)f=0的解在角域中的零点分布,得出E的超级为+∞的Borel方向与零点聚值线的关系. 相似文献
9.
二阶线性微分方程亚纯解的不动点与超级 总被引:3,自引:0,他引:3
本文研究了以亚纯函数为系数的二阶线性微分方程的解及其一阶和二阶导数的不动点及超级问题,得到:二阶线性微分方程亚纯解及其一阶和二阶导数的不动点性质,由于受到微分方程的限制,与一般亚纯函数的不动点性质相比是十分有趣的,事实上,它们与解的增长性密切相关。 相似文献
10.
IllltllodOCt1Oll In this paper,the standard notations of*theons Ne、nllnna clieory will be emp1Oyed.hand fare n。romorPhlc flnctlons·Let A(h)and A(可)denote resPectively the。Ponents ofconvergenceof tile zeros and the poles of h.Let n(r,_,f)del。ote the。umber of dlst.ct roots of f(z)=w。ill{zHzl<,}.As we know,in light ofNe侧llnlla theors[’],the rate ofgrowth ofmeromorPhlcfunction h can be characterized by order。(h)of h,which Is defined as 1__+,,,I_… 相似文献