共查询到20条相似文献,搜索用时 15 毫秒
1.
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
2.
Stevo Stevi? 《Applied mathematics and computation》2010,216(1):179-5018
Suppose r∈(0,1],m∈N and 1?k1<k2<?<k2m+1, and let S2m+1={1,2,…,2m+1}. We show that every positive solution to the difference equation
3.
Sin-Ei Takahasi Takeshi Miura Hiroyuki Takagi 《Journal of Mathematical Analysis and Applications》2007,329(2):1191-1203
We give the solution of the functional equation f(x+y)+λf(x)f(y)=Φ(x,y) under some conditions. Also we show its Hyers-Ulam stability. 相似文献
4.
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:
5.
Soon-Mo Jung 《Journal of Mathematical Analysis and Applications》2005,311(1):139-146
Let X be a complex Banach space and let I=(a,b) be an open interval. In this paper, we will prove the generalized Hyers-Ulam stability of the differential equation ty′(t)+αy(t)+βtrx0=0 for the class of continuously differentiable functions , where α, β and r are complex constants and x0 is an element of X. By applying this result, we also prove the Hyers-Ulam stability of the Euler differential equation of second order. 相似文献
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Bratislav D. Iri?anin 《Applied mathematics and computation》2010,216(4):1325-4324
We give elegant and short proofs of some recent results on global stability of some classes of higher-order nonlinear difference equations. 相似文献
8.
Janusz Brzd?k 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(17):6728-6732
We prove a simple fixed point theorem for some (not necessarily linear) operators and derive from it several quite general results on the stability of a very wide class of functional equations in single variable. 相似文献
9.
Churong Chen Martin Bohner Baoguo Jia 《Mathematical Methods in the Applied Sciences》2019,42(18):7461-7470
We study the Ulam‐Hyers stability of linear and nonlinear nabla fractional Caputo difference equations on finite intervals. Our main tool used is a recently established generalized Gronwall inequality, which allows us to give some Ulam‐Hyers stability results of discrete fractional Caputo equations. We present two examples to illustrate our main results. 相似文献
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11.
Gwang Hui Kim 《Journal of Mathematical Analysis and Applications》2007,325(1):237-248
The aim of this paper is to study the stability problem of the d'Alembert type and Jensen type functional equations:
f(x+y)+f(x+σy)=2g(x)f(y), 相似文献
12.
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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14.
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.
相似文献
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16.
Abbas Najati 《Journal of Mathematical Analysis and Applications》2008,340(1):569-574
In this paper, we prove the generalized Hyers-Ulam stability for the following quartic functional equation
f(2x+y)+f(2x−y)=4f(x+y)+4f(x−y)+24f(x)−6f(y). 相似文献
17.
We consider the possibility to construct efficient stability criteria for solutions to difference equations with variable coefficients. We prove that one can associate a difference equation with a certain functional differential equation, whose solution has the same asymptotic behavior. We adduce examples, demonstrating the essential character of conditions of the obtained theorems and the exactness of the constant 3/2 which defines the boundary of the stability domain. 相似文献
18.
Kenneth S. Berenhaut Bennett J. Stancil Jonathan H. Newman 《Journal of Difference Equations and Applications》2013,19(7):729-733
This paper studies solutions of some piecewise-linear difference equations. In two particular cases, a descent argument is used to show that all solutions are periodic with either prime period 3(2 k ? 1) or 6(2 k ? 1) for some k ≥ 1. The existence of solutions with such periods is also considered. 相似文献
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