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1.
In this paper, by means of the normal family theory, we estimate the growth order of meromorphic solutions of some algebraic differential equations and improve the related result of Barsegian et al. [6]. We also give some examples to show that our results occur in some special cases. 相似文献
2.
Painleve方程的解析性质 总被引:1,自引:0,他引:1
Painleve方程是六类最重要的二阶代数常微分方程。虽然Painleve是从纯粹数学的考虑发现这些方程的,但如今它们与许多数学和物理问题密切相关,且许多解析的,代数的和几何的性质不断被发现。本文介绍Painleve方程解析理论的基本内容,包括解的亚纯性,有理解,Baecklund变换和某些进一步的结果,如高阶第二类Painleve方程的新研究,值分布性质以及一些未解决的问题,其中包括作者的一些新结果。 相似文献
3.
该文研究了第一类Painlevé方程高阶类似(4P_1)的超越亚纯解的解析性质并获得一系列结果 相似文献
4.
在本文中,我们首先考虑了具有理系数的代数微分方程(f')n=R(z,f)亚 纯解的个数估计问题,并举例说明所得结果是精确的.其次,我们运用 Nevanlinna值 分布论,讨论了具亚纯系数的典型代数微分方程(f')3=a0(f- τ1)2(f- τ2)2(f- τ3)2 的可分解亚纯解.文中的结果推广或改进了高仕安[1],Gundersen G.和LaineI[2]以 及何育赞, LaineI.[3-5]等人的工作. 相似文献
5.
研究了加权Bloch型空间上的广义复合算子的有界性和紧性,得到了刻画该算子为有界和紧的一些充分必要条件. 相似文献
6.
Motivated by the result of Chen-Liu-Ru [1],we investigate the value distribution properties for the generalized Gauss maps of weakly complete harmonic surfaces immersed in Rn with ramification,which can be seen as a generalization of the results in the case of the minimal surfaces.In addition,we give an estimate of the Gauss curvature for the K-quasiconfomal harmonic surfaces whose generalized Gauss map is ramified over a set of hyperplanes. 相似文献
7.
Painlevé 方程的解析性质 总被引:3,自引:0,他引:3
Painleve方程是六类最重要的M阶代数常微分方程.虽然Painleve是从纯粹数学的考虑发现这些方程的,但如今它们与许多数学和物理问题密切相关,且许多解析的,代数的和几何的性质不断被发现.本文介绍Painleve方程解析理论的基本内容,包括解的亚纯性,有理解;Backlund变换和某些进一步的结果,如高阶第M类Painleve方程的新研究,值分布性质以及一些未解决的问题,其中包括作者的一些新结果。 相似文献
8.
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
9.
Bers型空间和复合算子 总被引:6,自引:0,他引:6
For α∈(0,∞),let Hα^∞(or Hα^∞,0)denote the collection of all functions f which are analytic on the unit disc D and satisfy |f(z)|(1-|z|^2)^α=O(1)(or|f(z)|(1-|z|^2)^α=o(1) as |z|→1).Hα^∞,0)is called a Bers-type space (or a little Bers-type space).In this paper,we give some basic properties of Hα^∞,Cψ,the composition operator associated with a symbol function ψ which is an analytic self map of D,is difined by Cψf=f o ψ,We characterize the boundedness,and compactness of Cψ which sends one Bers-type space to another function space. 相似文献
10.
Auto-Baecklund Transformation and Soliton-Type Solutions of the Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation 下载免费PDF全文
Using the truncated Painlevé expansion, an auto-Baecklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili (GKP) equation are obtained by symbolic computation. Since the cylindrical Korteweg-de Vries (cKdV) equation, the cylindrical KP (cKP) equation and the generalized cKP (GcKP) equation are all special cases of the GKP equation, we can also obtain the corresponding results of these equations. 相似文献