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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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Hassan A. El-Morshedy 《Journal of Mathematical Analysis and Applications》2007,336(1):262-276
New explicit sufficient conditions for the asymptotic stability of the zero solution of higher order difference equations are obtained. These criteria can be applied to autonomous and nonautonomous equations. The celebrated Clark asymptotic stability criterion is improved. Also, applications to models from mathematical biology and macroeconomics are given. 相似文献
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Kenneth S. Berenhaut Richard T. Guy 《Journal of Difference Equations and Applications》2013,19(8):895-916
In this paper, we study periodicity and boundedness for the integer solutions to a minimum-delay difference equations. As an application, a recent theorem regarding absolute-difference equations is extended. 相似文献
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We consider the family of difference equations of the form
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证明了在一定条件下,具有可变时滞的非线性非自治差分方程的全局渐近稳定性可由某种线性差分方程的渐近稳定性确定,给出了这类差分方程全局渐近稳定的充分条件.作为实例,获得了具有可变时滞的离散型非自治广义Log istic方程的全局吸收性判别准则. 相似文献
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G. Papaschinopoulos C.J. Schinas 《Journal of Mathematical Analysis and Applications》2004,294(2):614-620
We consider the family of difference equations of the form
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Yoshiaki Muroya Emiko Ishiwata Nicola Guglielmi 《Frontiers of Mathematics in China》2009,4(1):131-154
In this paper we consider some classes of difference equations, including the well-known Clark model, and study the stability
of their solutions. In order to do that we introduce a property, namely semicontractivity, and study relations between ‘semi-contractive’
functions and sufficient conditions for the solution of the difference equation to be globally asymptotically stable. Moreover,
we establish new sufficient conditions for the solution to be globally asymptotically stable, and we improve the ‘3/2 criteria’
type stability conditions.
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Yoshiaki Muroya Emiko Ishiwata Nicola Guglielmi 《Journal of Mathematical Analysis and Applications》2007,334(1):232-247
Consider the following nonlinear difference equation with variable coefficients:
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Reza Memarbashi 《Journal of Difference Equations and Applications》2013,19(3):301-307
In this paper, we obtain new sufficient conditions for the asymptotic stability and instability of equilibrium points of the nonautonomous higher order difference equations by means of weak contractions and weak expansions. 相似文献
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In this note, we consider the following rational difference equation:
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Eduardo Liz 《Journal of Mathematical Analysis and Applications》2005,303(2):492-498
We derive some explicit sufficient conditions for the asymptotic stability of the zero solution in a general linear higher order difference equation, and compare our estimations with other related results in the literature. Our main result also applies to some nonlinear perturbations satisfying a kind of sublinearity condition. 相似文献
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Stevo Stevi? 《Journal of Mathematical Analysis and Applications》2006,316(1):60-68
In this note we prove that the positive solutions of some classes of rational difference equations are globally asymptotically stable. Using a Berg's result, we also find asymptotics of some solutions of these equations. 相似文献
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Xiaofan Yang 《Journal of Mathematical Analysis and Applications》2006,322(2):693-698
It was conjectured that for every integer m?3 the unique equilibrium c=1 of the generalized Putnam equation