代数微分方程组的分量允许解(英文)

Using the Nevanlinna value distribution theory of meromorphic function,we investigate the existence problem of admissible solutions of higher-order algebraic differential equations systems,and obtain a result concerning admissible components of solution.     

关于高阶代数微分方程组亚纯解的计数函数（英文）

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.     

Shared Values of Certain Nonlinear Differential Polynomials of Meromorphic Functions

In this paper,by using the idea of truncated counting functions of meromorphic functions,we deal with the problem of uniqueness of the meromorphic functions whose certain nonlinear differential polynomials share one finite nonzero value.     

涉及微分多项式的亚纯函数分担值问题

This paper is devoted to studying the relationship between meromorphic functions f（z） and g（z） when their differential polynomials satisfy sharing condition weaker than sharing one value IM.     

Admissible solutions of systems of complex partial difference equations on Cn

In a recent papers,some authors applied Nevanlinna theory to prove some results on complex difference equations reminiscent of the classical Malmquist theorem in complex differential equations. We will mainly investigate Malmquist theorem of a type of systems of complex partial difference equations on Cn,improvements and extensions of such results are presented in this paper.     

具ρ-aplacian算子非齐次辊舍型二阶微分方程多点边值问题(英文)

A class of multi-point boundary value problems are studied.Easily verified suffcient conditions to guarantee the existence of at least one solutions of above mentioned BVPs are established.The examples are presented to illustrate the main results.     

The Meromorphic Solutions of the Zakharov-Kuznetsov Modified Equal Width Equation

In this paper,we use the complex method to obtain all meromorphic solutions of the complex Zakharov-Kuznetsov modified equal width equation,then find the exact traveling wave solutions of the Zakharov-Kuznetsov modified equal width equation.At last,we give some computer simulations to illustrate our main results.     

非线性分数微分方程边值问题正解的存在性(英文)

In this paper,we study a Dirichlet-type boundary value problem（BVP） of nonlinear fractional differential equation with an order α∈(3,4],where the fractional derivative D^α_o⁺is the standard Riemann-Liouville fractional derivative.By constructing the Green function and investigating its properties,we obtain some criteria for the existence of one positive solution and two positive solutions for the above BVP.The Krasnosel’skii fixedpoint theorem in cones is used here.We also give an example to illustrate the applicability of our results.     

Some Normality Criteria for Families of Meromorphic Functions

Let κ be a positive integer and F be a family of meromorphic functions in a domain D such that for each f ∈ F, all poles of f are of multiplicity at least 2,and all zeros of f are of multiplicity at least κ + 1. Let α and b be two distinct finite complex numbers. If for each f ∈ F, all zeros of f~(κ)-α are of multiplicity at least 2,and for each pair of functions f, g ∈ F, f~(κ)and g~(κ) share b in D, then F is normal in D.     

Normal Families of Zero-free Meromorphic Functions Ⅱ

Let k, m be two positive integers with m ≤ k and let F be a family of zero-free meromorphic functions in a domain D, let h(z) ≡ 0 be a meromorphic function in D with all poles of h has multiplicity at most m. If, for each f ∈ F, f(k)(z) = h(z) has at most k- m distinct roots(ignoring multiplicity) in D, then F is normal in D. This extends the results due to Chang[1], Gu[3], Yang[11]and Deng[1]etc.     

On the Growth of Components of Meromorphic Solutions of Systems of Complex Differential Equations

This paper investigates the problem of the growth of the components of meromorphic solutions of a class of a system of complex algebraic differential equations, and generalized some of N. Toda＇s results concerning the growth of differential equations to the case of systems of differential equations. The paper considers the existence of admissible solutions of the system of differential equations.     

On Meromorphic Solutions of the Systems of Linear Differential Equations with Meromorphic Coefficients

Ukrainian Mathematical Journal - For systems of linear differential equations whose dimension can be lowered, we estimate the growth of meromorphic vector solutions. As an essentially new feature,...     

Global Meromorphic Solutions of Partial Differential Equations

In this paper, we survey some recent progress on analytic theory of partial differential equations.     

Meromorphic Solutions of Some Complex Non-Linear Difference Equations

Analysis Mathematica - This paper is devoted to investigating the growth and zeros of meromorphic solutions of the generalized Fermat functional equation $${f^2}\left({z + 1} \right) + {A_1}\left(z...     

On Periodic Solutions of Nonlinear Functional Differential Equations

Sufficient conditions are established for the existence and uniqueness of an -periodic solution of the functional differential equation where f is a continuous operator acting from the space of n-dimensional -periodic continuous vector functions into the space of n-dimensional -periodic and summable on [0,] vector functions.     

All Meromorphic Solutions of Some Algebraic Differential Equations

In this article, we introduce some results with respect to the integrality and exact solutions of some 2nd order algebraic DEs. We obtain the sufficient and necessary conditions of integrable and the general meromorphic solutions of these equations by the complex method, which improves the corresponding results obtained by many authors. Our results show that the complex method provides a powerful mathematical tool for solving a large number of nonlinear partial differential equations in mathematical physics.     

关于一般复微分方程的代数体函数解

利用亚纯函数的Nevanlinna值分布理论,我们研究了一般复微分方程式代数体允许解的存在性问题,得到了一些结要。     

一类微分方程亚纯解的增长级

By meas of the Nevanlinna theory of the value distribution of meromorphic functions,this paper discusses the orders of growth of meromorphic solutions of differential equation and proves that the form of the solution is determined if the order are sufficiently large.     

一阶非线性泛函微分方程的周期解

本文研究了一阶非线性泛函微分方程的周期解,得到了周期解存在唯一的一些充分条件,推广和改进了这方面的已有结果。