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Stability Analysis and Periodictly Properties of a Class of Rational Difference Equations
MANAS: Journal of Engineering, 2022 The goal of this study is to investigate the global, local, and boundedness of the recursive sequenceT_{η+1}=r+((p₁T_{η-l₁})/(T_{η-m₁}))+((q₁T_{η-m₁})/(T_{η-l₁}))+((p₂T_{η-l₂})/(T_{η-m2}))+((q₂T_{η-m₂})/(T_{η-l₂}))+...+((p_{s}T_{η-l_{s}})/(T_{η-m_{s}}))+(
Elsayed Elsayed, Badriah Aloufi
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Advanced Discrete Halanay-Type Inequalities: Stability of Difference Equations
Journal of Inequalities and Applications, 2009 We derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequalities can be used as basic tools in the study of the global asymptotic stability of the equilibrium of certain generalized difference equations.
Kim Young-Ho, Agarwal RaviP, Sen SK
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Stability of Volterra difference delay equations
Electronic Journal of Qualitative Theory of Differential Equations, 2006 We study the asymptotic stability of the zero solution of the Volterra difference delay equation \begin{equation} x(n+1)=a(n)x(n)+c(n)\Delta x(n-g(n))+\sum^{n-1}_{s=n-g(n)}k(n,s)h(x(s)).\nonumber \end{equation} A Krasnoselskii fixed point theorem is ...
Ernest Yankson
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Stability of generalized Newton difference equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
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Stability of Difference Equations and Applications to Robustness Problems
Advances in Difference Equations, 2010 The aim of this paper is to obtain new necessary and sufficient conditions for the uniform exponential stability of variational difference equations with applications to robustness problems.
Sasu Bogdan
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Solution for Rational Systems of Difference Equations of Order Three
Mathematics, 2016 In this paper, we consider the solution and periodicity of the following systems of difference equations: x n + 1 = y n − 2 − 1 + y n − 2 x n − 1 y n , y n + 1 = x n − 2 ± 1 ± x n − 2 y n − 1 x n
Mohamed M. El-Dessoky
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Stability Results for Two-Dimensional Systems of Fractional-Order Difference Equations
Mathematics, 2020 Linear autonomous incommensurate systems that consist of two fractional-order difference equations of Caputo-type are studied in terms of their asymptotic stability and instability properties.
Oana Brandibur +3 more
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Stability problem of some nonlinear difference equations
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, we investigate the asymptotic stability of the recursive sequence xn+1=α+βxn21+γxn−1, n=0,1,… and the existence of certain monotonic solutions of the equation xn+1=xnpf(xn,xn−1,…,xn−k), n=0,1,… which includes as a special case the ...
Alaa E. Hamza, M. A. El-Sayed
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On the stability of some systems of exponential difference equations [PDF]
Opuscula Mathematica, 2018 In this paper we prove the stability of the zero equilibria of two systems of difference equations of exponential type, which are some extensions of an one-dimensional biological model.
N. Psarros +2 more
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Stability of the Exponential Type System of Stochastic Difference Equations
Mathematics, 2023 The method of studying the stability in the probability for nonlinear systems of stochastic difference equations is demonstrated on two systems with exponential and fractional nonlinearities.
Leonid Shaikhet
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