共查询到20条相似文献,搜索用时 31 毫秒
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We present some comments on the behavior of solutions of the difference equation
where p
i 0, i = 1,..., k, k N, and x
–k
,..., x
–1 R. 相似文献
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From previous studies of the equation in the title with positive parameters p and q and positive initial conditions we know that if q h 4 p + 1 then the equilibrium is a global attractor. We also know that if q > 4 p + 1 then every solution eventually enters and remains in the interval [ p / q , 1]. In this strip there exists a "unique" prime period two solution that is locally asymptotically stable. In this paper, we provide more insight as to the behavior of solutions of the equation in the title in the strip [ p / q , 1], where a one-dimensional stable manifold lives. 相似文献
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Peter M. Knopf 《Journal of Difference Equations and Applications》2013,19(7):607-619
Consider the third-order difference equation x n+1 = (α+βx n +δx n ? 2)/(x n ? 1) with α ∈ [0,∞) and β,δ ∈ (0,∞). It is shown that this difference equation has unbounded solutions if and only if δ>β. 相似文献
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Emin Özçag 《Proceedings Mathematical Sciences》1998,108(1):41-49
The existence of the neutrix convolution product of distributionx ? r Inx ? andx + ?3 is proved and some convolution products are evaluated. 相似文献
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《Applied Mathematics Letters》2002,15(3):305-308
In this note, we investigate the periodic character of solutions of the nonlinear, second-order difference equation where the parameter A and the initial conditions x0 and x1 are positive real numbers. We give sufficient conditions under which every positive solution of this equation converges to a period two solution. 相似文献
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Laurent Véron 《Mathematische Zeitschrift》2013,273(1-2):1-17
If Ω is a bounded domain in ${\mathbb{R}^N}$ , we study conditions on a Radon measure μ on ?Ω for solving the equation ?Δu + e u ? 1 = 0 in Ω with u = μ on ?Ω. The conditions are expressed in terms of Orlicz capacities. 相似文献