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11.
In this paper, we estimate the number of subnormal solutions for higher order linear periodic differential equations, and
estimate the growth of subnormal solutions and all other solutions. We also give a representation of subnormal solutions of
a class of higher order linear periodic differential equations. 相似文献
12.
研究两类高阶整函数系数线性微分方程解的超级,零点收敛指数和二级零点收敛指数。得到了一些精确结果。 相似文献
13.
ChenZongxuan 《高校应用数学学报(英文版)》2005,20(1):35-44
In this paper,the precise estimation of the order and hyper-order of solutions of a class of three order homogeneous and non-homogeneous linear differential equations are obtained. The results of M. Ozawa (1980), G. Gundersen (1988) and J. K. Langley ( 1986 ) are improved. 相似文献
14.
邓中书 《南昌大学学报(理科版)》2010,34(6):1
研究齐次线性微分方程f(k)+Ak-1(z)f(k-1)+…+A0(z)f=0解取小函数的点的收敛指数,并用二阶收敛指数估计无穷级解的增长率。 相似文献
15.
Kang Yueming 《Annals of Differential Equations》2007,23(1):35-44
In this paper, a class of higher order linear differential equation is investigated. The order and the hyper-order of the solutions of the equation are exactly estimated under some certain conditions. 相似文献
16.
与高阶导数有公共不动点的整函数 总被引:1,自引:0,他引:1
本文证明了如果f是非常数整函数满足超级σ_2(f)<1/2,k是一正整数,如果f和f(k)有公共不动点z CM,那么f~((k))(z)-z=c(f(z)-z),其中c是非零常数. 相似文献
17.
本文研究了几类亚纯函数系数的高阶线性微分方程解的增长性问题,得到了齐次和非齐次线性微分方程亚纯解增长性的精确估计. 相似文献
18.
Oscillation of Solutions of Linear Differential Equations 总被引:1,自引:0,他引:1
Ye Zhou LI Jun WANG 《数学学报(英文版)》2008,24(1):167-176
This paper is devoted to studying the growth problem, the zeros and fixed points distribution of the solutions of linear differential equations f″+e^-zf′+Q(z)f=F(z),whereQ(z)≡h(z)e^cz and c∈R. 相似文献
19.
In this article, the authors study the growth of certain second order linear differential equation f″+A(z)f′+B(z)f=0 and give precise estimates for the hyperorder of solutions of infinite order. Under similar conditions, higher order differential equations will be considered. 相似文献
20.
This paper investigates the growth of solutions of the equation f″ + e-z f′ + Q(z)f = 0 where the 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