一类三阶有理差分方程的全局吸引性

本文主要讨论一类三阶有理差分方程x_(n 1)=α βx_n/A Bx_n Cx_(n-1) Dx_(n-2),n=0,1,0…其中α,β,A,B,C,D∈(0,∞),初始值x-2,x-1∈[0,∞),x0∈(0,∞)的全局吸引性,从而推广文[1]的结论。     

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     

一类高阶有理差分方程解的收敛性(英文)

本文考查下列高阶有理差分方程xn+1=(α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/(A+B0xn+B2xn-2+…+B2kxn-2k,),n=0,1,…,其中k是非负整数,参数α,A,Bi,i=0,1,2,…,2k+1和初始值x-2k-1,x-2k,x-2k+1,…,x0是非负实数.给出充分条件,在此条件下当且仅当∑k+1i=1B2i-1=A时,方程的每个解收敛于方程的一个二周期解.     

The boundedness character of two Stevi?-type fourth-order difference equations

The boundedness character of positive solutions of two nonlinear fourth-order difference equations, which are particular cases of two large classes of difference equations by Stevi?, are studied in this paper.     

On the period five trichotomy of all positive solutions of xn+1=(p+xn−2)/xn

We study the behavior of all positive solutions of the difference equation in the title, where p is a positive real parameter and the initial conditions x₋₂,x₋₁,x₀ are positive real numbers. For all the values of the positive parameter p there exists a unique positive equilibrium x? which satisfies the equation

     

On a class of third-order nonlinear difference equations

This paper studies the boundedness character of the positive solutions of the difference equation

     

On the Recursive Sequence

The boundedness, global attractivity, oscillatory and asymptotic periodicity of the nonnegative solutions of the difference equation?in the title is investigated, where all the coefficients are nonnegative real numbers. The paper is motivated by an open problem proposed by Ladas [Open problems and conjectures, J. Differ. Equations?Appl., 5 (1999), 211–215].     

On a nonlinear generalized max-type difference equation

The boundedness character of positive solutions of the following max-type difference equation

     

线性差分方程非振动解的积分有界性

讨论一类线性差分议程非振动解的性质，给出其最终正解ｘ（ｔ）满足∫０ｘ（ｓ）ｄｓ＜＋∞或ｘ（ｓ）ｄｓ＜＋∞的充要条件，并推广了文［２］中相应结果．     

二阶非线性差分方程的全局吸引性

[摘　要] 研究了差分方程xn+1=a-bxn-1A-xn(a≥0,A≥b≥0)的全局稳定性和正解的周期性.证明了方程的一个正平衡点是一个全局吸引子,并给出了相应的吸引域.     

On the Global Character of the Difference Equation X n + 1 =

We investigate the global stability, the periodic character, and the boundedness nature of solutions of the difference equation x n +1 = f + n x n m (2 k +1) + i x n m 2 l A + x n m 2 l , n =0,1,… where k and l are non-negative integers, the parameters f , n , i , A are non-negative real numbers with f + n + i >0, and the initial conditions are non-negative real numbers. We show that the solutions exhibit a trichotomy character depending upon the parameters n , i and A .     

具有时滞的周期Logistic方程的持续性与周期解

这篇文章的目的是讨论一类具有多个时滞的周期Logistic方程的动力学行为.证明 了在某些条件下系统是持续的,建立了全局吸引周期解的充分条件.     

一类变时滞差分方程的振动性

Consider the nonautonomous delay logistic equation △yn=pnyn(1-n≥0 (1)where {pn}n≥0 is a sequence of nonnegative real numbers, {ln}n≥0 is a sequence of positive integers satisfying lim (n-ln)=∞, and k is a positive constant. Only solutions which are positive for n ≥ 0 are considered. We obtain a new sufficient for all positive solutions of (1) to oscillate about k which contains the corresponding result in [2] when I=1.     

Well-Posedness of Solutions for Sixth-Order Cahn-Hilliard Equation Arising in Oil-Water-Surfactant Mixtures

In this paper, by using the $L_p$-$L_q$-estimates, regularization property of the linear part of $e^{-t\Delta^3}$ and successive approximations, we consider the existence and uniqueness of global mild solutions to the sixth-order Cahn-Hilliard equation arising in oil-water-surfactant mixtures in suitable spaces, namely $C^0([0,T];\dot{W}^{2,\frac{N(l-1)}2}(\Omega))$ when the norm $\|u_0\|_{\dot{W}^{2,\frac{N(l-1)}2}(\Omega)}$ is sufficiently small.     

一类时滞反应扩散方程的稳态解的全局吸引性

本文研究了一类带扩散项造血生物模型当非线性项不具有单调性时,Dirichlet边值条件下稳态解的全局吸引性.     

具有遗传效应单种群模型的正周期解

利用重合度理论中的延拓定理和Ｌｙａｐｕｎｏｖ泛函方法,讨论了具有遗传效应单种群模型正周期解的存在性和全局吸引性,得到了一些新结果,推广了某些相关结果。