一类非线性无界时滞差分方程正解的不存在性

研究一类非线性无界时滞差分方程及其对偶方程，给出了方程不存在正解的充分条件，所得结论改进了有关的结果。     

非线性微分方程正解的不存在性

本文研究了非线性微分方程正解不存在性     

一类非线性变系数差分方程正解的振动性

研究了一类具有时滞的非线笥变系数差分方程Ｘｎ＋１＝Ｘｎｅｘｐ（ｒｎ１－ｘｎ－ｋ／１－ｃｘｎ－ｋ解的振动性,获得了其正解关于正平衡点ｘ＝１振动的好的充分条件。     

一类非自治非线性时滞差分方程正解的振动性

研究了一类非自治非线性时滞差分方程△xn=rnxn1-xn-k/1-cxn-k的正确解关于平衡点1的振动性,所获结果改进和推广了献[6]中的相关结论。     

高阶非线性差分方程的正解

本文讨论了一类奇数阶非线性中立型差分方程,获得了正解存在的充要条件和比较定理．     

一类非线性中立型差分方程的振动性(英文)

考虑一类非线性中立型差分方程Δ（ｘｎ － ｐｎｘｎ－ ｋ） ＋ ｑｎｆ（ｘｎ－ ｌ） ＝ ０ （）我们得到了其所有解振动的几个充分条件．     

三阶非线性非自治中立型时滞差分方程正解存在性定理

研究了一类三阶非线性变系数非自治中立型变时滞差分方程正解的存在性,给出了该类方程存在最终正解的几个充分条件,推广了已有文献的某些结果.     

一类分数阶差分方程边值问题多重正解的存在性

考虑一类高阶分数阶差分方程边值问题.构造相关的格林函数,利用不等式技巧,分析格林函数的特征性质.运用不动点指数理论,获得了该分数阶差分方程边值问题存在多重正解的充分条件,举例说明了所获理论的有效性.     

一类非线性二阶差分方程的正解

本文利用krasonsel＇skill锥拉伸与锥压缩不动点定理研究了一类非线性差分方程边值问题的正解存在性，我们考虑非线性呈渐近线性增长的情况.     

正负系数中立型差分方程的正解的存在性

In this paper the sufficient conditions for the existence of positive solutions of the neutral difference equations with positive and negative coefficients are established. The results improve some known conclusions in the literature     

NONEXISTENCE OF POSITIVE SOLUTION OF A CLASS OF NONLINEAR DIFFERENCE EQUATION

In this paper, a class of nonlinear difference equations are investigated. The sufficient conditions for the nonexistence of positive solutions are obtained. The results in this paper improve ones in [2].     

二阶非线性中立型时滞差分方程的正解

本文研究了一类二阶非线性中立型时滞差分方程的正解,得到了最终正解的存在性判据及存在正解的必要条件,建立了一些正解不存在性定理,所得结论推广并改进了已知的一些结果。     

THE EXISTENCE OF MULTIPLE POSITIVE SOLUTION OF NONLINEAR NEUTRAL DIFFERENCE EQUATION

1IntroductionRecently,anumber0fmeth0dswereempl0yedf0r0btainingp0sitivesolu-tionstodifferenceequations,includingc0mparis0nprinciples,Schaudertypefixedp0inttheorem,Banach'scontractionprinciple,methods0fsuper-andlower-s0luti0ns,themethods0fpositive0perators,andso0n[1-4].Inthispa-per,wewillutilizethefixedpointindextheoryt00btainanexistencecriteriafOrmu1tiplep0sitivesolutionsofn0nlinearneutraldifferenceequationwheren,bi(15z5m1)andry(15j5m2)arep0sitiveinteger,{ci(k)}7=,(l5i5ml)and{pj(k)}7=,(15j5m2)…     

THE EXISTENCE OF MULTIPLE POSITIVE SOLUTION OF NON-AUTONOMOUS NONLINEAR NEUTRAL DIFFERENCE EQUATION

In this paper, by using the fixed point index theory, we obtain an existence criteria for multiple positive solution of non-autonomous nonlinear neutral difference equation. We extend the results in [1].     

POSITIVE PERIODIC SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATION

Using the Krasnoselskii's fixed point theorem, the existence of positive periodic solutions to a class of nonlinear functional difference equations is studied in this paper. Some sufficient conditions for the existence of positive periodic solutions are presented.     

具有可变时滞的偶数阶非线性中立型差分方程的正解

本文考虑具有可变时滞的偶数阶非线性中立型差分方程，利用Ｂａｎａｃｈ空间的压缩映象原理，得到了这类方程存在最终正解的判别准则．     

MULTIPLE POSITIVE PERIODIC SOLUTIONS OF A CLASS OF DELAY DIFFERENCE EQUATIONS

Based on the Leggett-Williams fixed point theorem for a Banach space, we establish the existence of three positive periodic solutions for a class of delay difference equations.