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考虑非自治差分方程xn 1=xnexp(rn 1-xn/1 λxn),n∈N的全局吸引性.这里{rn}是非负实数列,λ≥0,我们获得了方程每一解在初始条件下趋于1的充分条件. 相似文献
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中立型时滞差分方程解的渐近性 总被引:3,自引:0,他引:3
给出了中立型时滞差分方程△(xn+pxn-k)+qnf(xn-m)=0一切非振动解趋于零(n→∞)的充分条件,证明了方程(E)一切解振动的两个新的定理。 相似文献
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非自治时滞差分方程的线性化渐近稳定性 总被引:17,自引:0,他引:17
本文证明了,在某种条件下,非自治非线性时滞差分方程xn+1-xn+pnf(xn-kn)=0,n∈N零解的渐近稳定性可由其线性化方程yn+1-yn+pnyn-kn=0,n∈N零解的渐近稳定性来确定.作为应用,也研究了离散时滞logistic方程的稳定性. 相似文献
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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。 相似文献
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将讨论的差分方程△(rm-1x0-1)+qnxn=anf(xn)看成是其对应的齐次差分方程Δ(rn-1Δyn-1)+qnyn=0的非线性扰动,其中f(x)为[0,∞)连续函数.设对应的齐次差分方程非振动,zn和yn为其主解和非主解.本文将运用压缩映象原理,获得方程存在渐近于其对应齐次方程主解的解的充分条件.并用方程的系数给出其渐近的精确表示. 相似文献
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一类非线性中立型时滞差分方程的振动性 总被引:1,自引:0,他引:1
考虑变形数中立型时滞差分方程△(xn-∑ti=1qi,nfi(xn-mi)=0,n=0,1,2,…建立了此方程所有解振动的一个充分条件。 相似文献
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J.M. Cushing 《Journal of Difference Equations and Applications》2013,19(5-6):487-513
The existance of nontrivial (x=0( periodic solutions of a general class of periodic nonlinear difference equations is proved using bifurcation theory methods. Specifically, the existance of a global continuum of nontrivial periodicsolutions that bifurcates from the trivial solution (x=0) is proved. Conditions are given under which the nontrivial solutions are positive. A prerrequisite Fredholm and adjoint operator theory for linear periodic systems is developed. An application to application dynamics is made. 相似文献
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1IntroductionConsideraninitial-boundaryproblellll']oftileforulBylreansoftheforwardilltime-forwal'dillspacefillitedifferellcel-lletllodforcalculatillganapproximatesolutiollIL(nh,jk)=ALeofthisproblelll,weareledtotilefollowingdifferenceschemeoftheformwilerss=k/h.Suchallequationisaparticularcaseoftilefollowillggelleralpartialdifl'erellcewhere{hij},{oil}and{fti}arerealdollblesequellcesdefilledfori,j20.Itisclearthatiftilearegiven,thenwecancalculate'I[lo;till,liZ,o;u129'u21,'u3o;''successivelyill… 相似文献
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Theoretical study of a finite difference scheme applied to steady-state Navier-Stokes-like equations
O. Goyon 《Applied Mathematics Letters》1997,10(6):71-75
In this paper, we are concerned with the numerical approximation of the solutions to a stationary Navier-Stokes-like system of equations introduced in [1]. Unlike previous studies, the discrete trilinear form appearing in the variational formulation does not verify the usual cancellation property bh (uh, vh, vh) = 0. Existence of solutions for the approximate equation and general convergence theorems are demonstrated. 相似文献
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Mami Suzuki 《Annali di Matematica Pura ed Applicata》2008,187(2):353-368
There is no general existence theorem for solutions for nonlinear difference equations, so we must prove the existence of
solutions in accordance with models one by one. In our work, we found theorems for the existence of analytic solutions of
the following nonlinear second order difference equation,
where f(x,y) is an entire function of x, y. The main work of the present paper is obtaining representations of analytic general solutions of the difference equation
with new methods of complex analysis.
相似文献
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C. J. Xiao 《Journal of Optimization Theory and Applications》1993,76(1):165-182
In this paper, the general solutions to the optimal policy and the limit theorem forn-stage,m-reusableness rate production planning are obtained for the problem with free terminal point. In addition, general solutions to the problem with fixed terminal point are obtained. The links between the solutions to these problems are discussed.This paper has benefited from the revisions suggested by the referees. The careful and constructive reviews were appreciated by the author. 相似文献
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Fernando Cardoso 《Journal of Difference Equations and Applications》2013,19(3):261-290
We characterize the exponential dichotomy of difference equations with infinite delay. We apply the results to study the robustness of exponential dichotomy. This kind of dichotomy gives us relevant information about boundedness of solutions for several perturbed quasi linear systems with infinite delay. Applications to Volterra difference equations are shown. 相似文献
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