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difference equation for N-body Type Problem

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Communications in Mathematical Research 2009年第5期25卷 411-417页

作者： Xu LE-SHUN HAN YUE-CAI LIU BAI-FENG College of Mathematics and Computer Science Nanjing Normal University Nanjing 210097 Department of Applied Mathematics Northwest A ＆ F University Yangling Shanxi 712100 School of Mathematics Jilin University Changchun 130012 Department of Mathematics and Information Science Shandong Institute

In this paper, the difference equation for N-body type problem is established, which can be used to find the generalized solutions by computing the critical points numerically. And its validity is testified by an exam... 详细信息

关键词： difference equation N-bodytype problem critical point

ON PROPERTIES OF MEROMORPHIC SOLUTIONS FOR COMPLEX difference equation OF MALMQUIST TYPE

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Acta Mathematica Scientia 2013年第4期33卷 1141-1152页

作者：黄志波陈宗煊李倩 School of Mathematical Sciences South China Normal University Department of Applied Mathematics South China Agricultural University

In this paper, we present the properties on zeros, fixed points, poles, Borel exceptional value of finite order transcendental meromorphic solutions of complex difference equation of Malmquist typewhere n（∈ N）〉 2, P（f（z）） and Q（f（z）） are relatively prime polynomials in f（z） with rational coefficients a8 （s = 0, 1,…,p） and bt （t = 0, 1,… ,q） such that aoapbq 7≠ O, and also consider the existence and the forms on rational solutions of this type of difference equations. Some examples are also listed to show that the assumptions of theorems, in certain senses, are the best possible.

关键词： zeros poles fixed-points Borel exceptional value difference equation

BIFURCATIONS OF INVARIANT CURVES OF A difference equation

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Applied Mathematics and Mechanics(English Edition) 2001年第9期22卷 1096-1104页

作者： HE Tian-lan(贺天兰) Institute of Science Kunming University of Science and Technology Kunming 650093 P R China

Bifurcation of the invariant curves of a difference equation is studied. The system defined by the difference equation is integrable, so the study of the invariant curves of the difference system can become the study of topological classification of the planar phase portraits defined by a planar Hamiltonian system. By strict qualitative analysis, the classification of the invariant curves in parameter space can be obtained.

关键词： difference equation Hamiltonian system invariant curve

On the positive nonoscillatory solutions of the difference equation Xn＋1=α＋（xn-k/xn-m）^p

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Applied Mathematics(A Journal of Chinese Universities) 2009年第1期24卷 45-48页

作者： VU VAN KHUONG Dept. of Math. Anal. Univ. of Transport and Communications Hanoi City Vietnam

The aim of this paper is to show that the following difference equation：Xn＋1=α＋（xn-k/xn-m）^p, n=0,1,2,…,where α 〉 -1, p 〉 O, k,m ∈ N are fixed, 0 ≤ m 〈 k, x-k, x-k＋1,…,x-m,…,X-1, x0 are positive, has positive nonoscillatory solutions which converge to the positive equilibrium x=α＋1. It is interesting that the method described in the paper, in some cases can also be applied when the parameter α is variable.

关键词： equilibrium asymptotic positive solution difference equation nonoscillatory solution

MIKUSINSKI＇S　OPERATORS　SOLUTION　OF　THREE－ORDER　LINEAR　difference　equation　WITH　VARIABLE　COEFFICIENTS

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Applied Mathematics and Mechanics(English Edition) 1994年第1期15卷 71-79页

作者：周之虎 Anhui Architectural Industry College Hefei

This paper proceeds the papers [3] [4], we make use of the idea of the variable ,number operators and some concepts and conclusions of the shifting operators serieswith variable coefficients in the operational field of Mikusinski, it is devoted to thesolution of the general three-order linear difference equation with variable,coefficients,and it is also devoted to the better solution .formula for the some special three-orderlinear difference equations with variable coefficients, in addition, we try to provide theidea and method for realizing solution of the more than three-order linear differenceequation with variable coefficients.

关键词： Mikusinski operator shift operator difference equation

GLOBAL ATTRACTIVITY IN A CLASS OF HIGHER-ORDER NONLINEAR difference equation

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Acta Mathematica Scientia 2005年第1期25卷 59-66页

作者：李万同张艳红苏有慧 Department of Mathematics Lanzhou University Lanzhou 730000 China Department of Mathematics Lanzhou University Lanzhou 730000 China Department of Mathematics Hexi University Zhangye 734000 China

In this paper the global attractivity of the nonlinear difference equationis investigated, where a,b, A ∈ (0,∞), k is an positive integer and the initial conditions x- k, …, x-1 and x0 are arbitrary positive numbers. It is shown that the unique positive equilibrium of the equation is global attractive. As a corollary, the result gives a positive confirmation on the conjecture presented by Kocic and Ladas [1,p154].

关键词： difference equation global attractivity stability equilibrium.

The Existence of Three Positive Solutions for p-Laplacian difference equation with Delay

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Communications in Mathematical Research 2012年第4期28卷 337-348页

作者： WANG LIN-JUN GONG CHENG-CHUN Faculty of Science Jiangsu University Zhenjiang Jiangsu 212013 School of Mathematics Jilin University Changchun 130012

In this paper, we study the multiplicity of positive solutions for a class of p-Laplacian difference equations with delay. We propose sufficient conditions for the existence of at least three positive solutions and we... 详细信息

关键词： p-Laplacian difference equation delay fixed point theorem

Positive Solutions for Second-Order Singular difference equation with Nonlinear Boundary Conditions

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Journal of Mathematical Research with Applications 2023年第1期43卷 101-108页

作者： Huijuan LI Alhussein MOHAMED Chenghua GAO Department of Mathematics Northwest Normal University

In this paper,we discuss the existence of positive solutions for the second-order singular difference equation boundary value problem■ where λ> 0 is a positive parameter,f:(0,∞)→R is continuous,and is allowed to b... 详细信息

关键词： difference equation nonlinear boundary conditions positive solutions

On the Nonlinear difference equation

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Journal of Applied Mathematics and Physics 2016年第1期4卷 100-109页

作者： Elmetwally M. Elabbasy Abdulmuhaemn A. El-Biaty Department of Mathematics Faculty of Science Mansoura University Mansoura Egypt

In this paper, we investigate some qualitative behavior of the solutions of the difference equation where the coefficients a, b and ci are positive real numbers, and where the initial conditions are arbitrary positive... 详细信息

关键词： difference equation Stability Periodicity Boundedness Global Stability