复微分方程组亚纯解的分量的Nevanlinna特征估计

本文讨论了一类复微分方程组的亚纯解的分量的Nevanlinna特征估计,利用亚纯函数Nevanlinna值分布理论,得到了一个有关方程组亚纯解的分量的Nevanlinna特征估计定理.该结果推广了高凌云等人的一些结果.     

二阶代数微分方程亚纯解的增长性估计

本文研究了代数微分方程亚纯解的增长级.运用正规族理论,给出了某类二阶代数微分方程亚纯解的增长级的一个估计,该估计依赖于方程的有理函数系数.推广了2001年廖良文与杨重骏的一个结果.     

二阶代数微分方程亚纯解的增长性估计（英文）

本文研究了代数微分方程亚纯解的增长级.运用正规族理论,给出了某类二阶代数微分方程亚纯解的增长级的一个估计,该估计依赖于方程的有理函数系数.推广了2001年廖良文与杨重骏的一个结果.     

一类高阶微分方程亚纯解的增长性

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.     

几类高阶线性微分方程亚纯解的增长性

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.     

基于$q$-差分Painlev\'e方程的几类$q$-差分方程解的性质

文章讨论了几类$q$-差分Painlev\''e方程的亚纯解性质,获得了方程亚纯解的存在性条件、增长级的估计,以及亚纯解$f$的$q$-差分$\Delta_qf(z):= f(qz)-f(z)$的极点收敛指数的估计等结果,进一步推广了Qi-Yang的结果.     

一类高阶微分方程亚纯解的下级、超级、二级不同零点收敛指数

本文研究了一类高阶亚纯系数非齐次及齐次线性微分方程的复振荡.在亚纯解的极点重数无限制的前提下,得到了方程亚纯解的下级、超级、二级不同零点收敛指数等的精确估计.改进了陈宗煊、Ki-HoKwon等的结果.     

几类亚纯双单叶函数的系数估计

研究了几类亚纯双单叶函数的系数估计,所得结果改进或推广了部分作者的结论.     

带有外势朗道算子的全局性亚椭圆估计（英文）

本文主要研究了具有外势的朗道型算子的亚椭圆性.利用傅里叶变换和象征类计算,在基于一些假设的前提下得到了朗道算子的全局性亚椭圆估计.     

一类微分方程的解及其解的导数与不动点的关系

研究了一类亚纯系数微分方程的复振问题,通过应用亚纯函数的分解和模的增长估计,得到了该类方程的级的精确估计,同时对方程的解及其一阶导数与不动点间的关系进行了研究,指出由于受到微分方程的制约,该类方程的不动点密度与解的增长性有着密切的关系.     

一类亚纯系数高阶线性微分方程解的增长性

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.     

Unicity of meromorphic solutions of partial differential equations

In this survey, results on the existence, growth, uniqueness, and value distribution of meromorphic (or entire) solutions of linear partial differential equations of the second order with polynomial coefficients that are similar or different from that of meromorphic solutions of linear ordinary differential equations have been obtained. We have characterized those entire solutions of a special partial differential equation that relate to Jacobian polynomials. We prove a uniqueness theorem of meromorphic functions of several complex variables sharing three values taking into account multiplicity such that one of the meromorphic functions satisfies a nonlinear partial differential equations of the first order with meromorphic coefficients, which extends the Brosch??s uniqueness theorem related to meromorphic solutions of nonlinear ordinary differential equations of the first order.     

一类复差分方程组的亚纯解

许多作者研究了复差分方程解的存在性及增长性问题,得到了较多理想的结果.本文利用亚纯函数Nevanlinna值分布理论,研究了一类复高阶非线性差分方程解的表达式问题,将复差分方程的一结果推广至复差分方程组中.     

复微分方程组亚纯解的特征估计

本文给出了一类复代数微分程组亚纯解的特征估计。     

RICCATI-TYPE RESULT FOR MEROMORPHIC SOLUTIONS OF SYSTEMS OF COMPOSITE FUNCTIONAL EQUATIONS

By use of Nevanlinna value distribution theory,we will investigate the properties of meromorphic solutions of two types of systems of composite functional equations and obtain some results. One of the results we get is about both components of meromorphic solutions on the system of composite functional equations satisfying Riccati differential equation,the other one is property of meromorphic solutions of the other system of composite functional equations while restricting the growth.     

On growth of meromorphic solutions of some kind of non-homogeneous linear difference equations

In this paper, we investigate the growth of meromorphic solutions of some kind of non-homogeneous linear difference equations with special meromorphic coefficients. When there are more than one coefficient having the same maximal order and the same maximal type, the estimates on the lower bound of the order of meromorphic solutions of the involved equations are obtained. Meanwhile, the above estimates are sharpened by combining the relative results of the corresponding homogeneous linear difference equations.     

Some properties of meromorphic solutions of q-difference equations

We investigate the growth of transcendental meromorphic solutions of some complex q-difference equations and find lower bounds for Nevanlinna lower order for meromorphic solutions of such equations. We also obtain a q-difference version of Tumura-Clunie theorem.