排序方式: 共有79条查询结果,搜索用时 31 毫秒
51.
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
52.
We consider the existence, the growth, poles, zeros, fixed points and the Borel exceptional value of solutions for the following difference equations relating to Gamma function y(z + 1) -y(z) = R(z) and y(z + 1) = P (z)y(z). 相似文献
53.
In this paper,the zeros of solutions of periodic second order linear differential equation y + Ay = 0,where A(z) = B(e z ),B(ζ) = g(ζ) + p j=1 b ?j ζ ?j ,g(ζ) is a transcendental entire function of lower order no more than 1/2,and p is an odd positive integer,are studied.It is shown that every non-trivial solution of above equation satisfies the exponent of convergence of zeros equals to infinity. 相似文献
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二阶亚纯系数微分方程亚纯解的零点 总被引:26,自引:0,他引:26
陈宗煊 《数学物理学报(A辑)》1996,16(3):276-283
该文得到:假设B为有理函数,在∞点有n>0阶极点,H0为有限级亚纯函数,且σ(H)=β≠(n+2)/2.如果微分方程f"+Bf=H(z)有亚纯解f,那么最多除去一个例外解f0外,其它所有亚纯解f都满足λ(f)=λ(f)=σ(f)=max{σ(H),(n十2)/2}. 相似文献
56.
陈宗煊 《高校应用数学学报(英文版)》1994,9(4):365-374
In this paper, we investigate the complex oscillation of the differential equation f‘‘ B1f‘ B0f=F1 whtere B0,B1,F≠0 are order meromorphic functions having only finitely many poles and the order of B1 is larger than that of B0.We obtain some precise estimates of the order of growth and of the exponent of convergence of the zero-sequence of solutions for this equation. 相似文献
57.
本文讨论了当A(z)为多项式,F(z)为具有无穷多个零点的整函数时,微分方程:f"+A(z)f=F(z)的解f(z)的复振荡的性质。 相似文献
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非齐次线性微分方程解的复振荡 总被引:3,自引:0,他引:3
在本文中,研究了非齐次线性微分方程f~(k)+a_(k-1)f~(k-1)+…+a_0f=F k≥2(1)的解的复振荡.在下面定理1、定理2中,我们假定 a_(k-1),…,a_0为多项式,F 为具有无穷多零点的整函数,令1+(?)dega_(k-j)/j=M. 相似文献
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二阶复域微分方程解的不动点与超级 总被引:31,自引:0,他引:31
陈宗煊 《数学物理学报(A辑)》2000,20(3):425-432
文中首次研究了4种类型的整函数系数的二阶线性微分方程的解的不动点及超级问题,得到:复域微分方程解的不动点性质,由于受到微分方程的制约,与一般超越整函数的不动点性质相比,是十分有趣的. 相似文献
60.
In this paper, we investigate the value distribution of the difference counterpart △f(z)- af(z)n of f′(z)- af(z)n and obtain an almost direct difference analogue of result of Hayman. 相似文献