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引入区域的最大最小不等式性质,研究最大最小不等式性质和一致域的关系,得到了下述结果: (1)区域的最大最小不等式性质具有拟共形不变性; (2)如果区域D是一致域,则D具有最大最小不等式性质; (3)若D和它的外部D=R2\D具有最大-最小不等式性质,则D是R2中的一致域. 相似文献
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对G.Ladas的一个开问题的解答 总被引:3,自引:0,他引:3
本文获得了一个高阶非线性差分方程具有无界正解的充分条件,所得结果解决了G.Ladas提出的一个开问题。 相似文献
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非线性时滞差分议程的全局渐近稳定性 总被引:1,自引:0,他引:1
In this paper,a sufficient condition for the global asymptotic stability of the solutions of the following nonlinear delay difference equation is obtained,xn 1=xn xn-1xn-2 a/xmxm-1 xn-2 a,n=0,1…,where a∈(0,∞) and the initial values x-2,x-1,x0∈(0,∞).As a special case,a conjecture by Ladas is confirmed. 相似文献
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IntroductionConsiderthefollowingdelaydifferenceequationxn 1=xn(a bxn)xn- 1, n=0 ,1 ,2 ,… ,(1 )wherea ,b∈ [0 ,∞ )witha b>0 (2 )andwheretheinitialvaluesx- 1andx0 arearbitrarypositivenumbers.Eq .(1 )isregardedasageneralizedLynessequationbyG .Ladasin [1 ] .Obviously ,undercondition (2 ) ,… 相似文献
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In this paper, the qualitative behavior of solutions of the bobwhite quail pop-ulation modelwhere 0相似文献
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1 IntroductionConsider the fOllowing Logistic modelwhere A denotes the forward difference operator defined by Ax. = xu l -- x.,{r.}7=, is a sequence of nonnegative real number, {k.}7=, is a sequence ofnonnegative integers, which satisfies j\t(n -- k.) = co) }it sup k. = co? andK is a positive constant. Obviously, K is the unique positive equilibrium pointof Eq.(1).FOr the special cases of Eq.(l)f re = r > 0 or k. == k 6 {0, 1, 2,' .}, therehave been many papers studying them. See, for exa… 相似文献