共查询到18条相似文献,搜索用时 62 毫秒
1.
高凌云 《数学物理学报(B辑英文版)》2012,(4):1495-1502
We apply Nevanlinna theory of the value distribution of meromorphic functions to study the properties of Nevanlinna counting function and proximity function of meromorphic solutions of a type of systems of complex difference equations. Our results can give estimates on the proximity function and the counting function of solutions of systems of difference equations. This implies that solutions have a relatively large number of poles. It extend some result concerning difference equations to the systems of difference equations. 相似文献
2.
Applying the Nevanlinna theory of meromorphic function,we investigate the non-admissible meromorphic solutions of nonlinear complex algebraic differential equation and gain a general result.Meanwhile,we prove that the meromorphic solutions of some types of the systems of nonlinear complex differential equations are non-admissible.Moreover,the form of the systems of equations with admissible solutions is discussed. 相似文献
3.
In this paper,we shall use Nevanlinna theory of meromorphic functions to investigate the complex oscillation theory of solutions of some higher order linear differential equation.Suppose that A is a transcendental entire function with ρ(A)<1/2.Suppose that k≥2 and f(k)+A(z)f=0 has a solution f with λ(f)<ρ(A),and suppose that A1=A+h,where h≡0 is an entire function with ρ(h)<ρ(A).Then g(k)+A1(z)g=0 does not have a solution g with λ(g)<∞. 相似文献
4.
In this paper, some complex linear differential equations are investigated. Many results on the relation between solutions and their derivatives are obtained. 相似文献
5.
陈宗煊 《数学物理学报(B辑英文版)》2012,32(3):1141-1148
In this article,we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations,and obtain some relations of the exponent of convergence of z... 相似文献
6.
Using Nevanlinna theory and value distribution of meromorphic functions and the other techniques,we investigate the counting functions of meromorphic solutions of systems of higher-order algebraic differential equations and obtain some results. 相似文献
7.
高凌云 《数学物理学报(B辑英文版)》2012,32(2):800-806
In this article,we mainly investigate the growth and existence of meromorphic solutions of a type of systems of composite functional equations,and obtain some interesting results.It extends some result... 相似文献
8.
We prove an oscillation theorem of two meromorphic functions whose derivatives share four values IM. From this we obtain some uniqueness theorems, which improve the corresponding results given by Yang [16] and Qiu [10], and supplement results given by Nevanlinna [9] and Gundersen [3, 4]. Some examples are provided to show that the results in this paper are best possible. 相似文献
9.
In this paper, we consider the value distribution of meromorphic solutions of order zero of some kind of q-difference equations and examples are also given to elaborate our results. 相似文献
10.
Using Nevanlinna theory of the value distribution of meromorphic functions,we discuss some properties of the transcendental meromorphic solutions of second-order algebraic differential equations,and generalize some results of some authors. 相似文献
11.
Yue WANG 《数学物理学报(B辑英文版)》2017,37(3):732-751
Using Nevanlinna theory of the value distribution of meromorphic functions, we investigate the problem of the existence of meromorphic solutions of some types of complex differential-difference equations and some properties of meromorphic solutions, and we obtain some results, which are the improvements and extensions of some results in references. Examples show that our results are precise. 相似文献
12.
Liangwen Liao 《Journal of Mathematical Analysis and Applications》2005,309(1):91-102
We study the properties of meromorphic solutions of the Schwarzian differential equations in the complex plane by using some techniques from the study of the class Wp. We find some upper bounds of the order of meromorphic solutions for some types of the Schwarzian differential equations. We also show that there are no wandering domains nor Baker domains for meromorphic solutions of certain Schwarzian differential equations. 相似文献
13.
This article discusses the problems on the existence of meromorphic solutions of some higher order linear differential equations with meromorphic coefficients. Some nice results are obtained. And these results perfect the complex oscillation theory of meromorphic solutions of linear differential equations. 相似文献
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15.
Some Properties of Meromorphic Solutions to Systems of Complex Differential-Difference Equations 下载免费PDF全文
Haichou 《数学年刊B辑(英文版)》2016,37(5):719-728
Applying Nevanlinna theory of the value distribution of meromorphic
functions, the author studies some properties of Nevanlinna counting
function and proximity function of meromorphic solutions to a type
of systems of complex differential-difference equations.
Specifically speaking, the estimates about counting function and
proximity function of meromorphic solutions to systems of complex
differential-difference equations can be given. 相似文献
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17.
研究了一类二阶亚纯系数复微分方程的亚纯元素解及代数元素解的存在性问题,得到了几个有关解的存在性定理. 相似文献
18.
In this article, the growth of meromorphic solutions for a class of higher-order linear differential equation with meromorphic coefficients is investigated by applying the method of value distribution, and some estimates for the hyper-order of their solutions are obtained. 相似文献