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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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Global Stability of a Rational Difference Equation [PDF]
Discrete Dynamics in Nature and Society, 2010 We consider the higher‐order nonlinear difference equation xn+1 = (p + qxn−k)/(1 + xn + rxn−k), n = 0, 1, … with the parameters, and the initial conditions x−k, …, x0 are nonnegative real numbers. We investigate the periodic character, invariant intervals, and the global asymptotic stability of all positive solutions of the above‐mentioned equation. In
Guo-Mei Tang, Lin-Xia Hu, Gang Ma
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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 for Differential Difference Equations
Journal of Mathematical Analysis and Applications, 1993 The authors consider the retarded differential difference equation \(\dot x(t)=A_ 0 x(t)+\sum^ N_{k=1} A_ k x(t-\gamma_ k\cdot r)\) and the neutral differential difference equation \[ {d\over {dt}} \left[ x(t)- \sum^ N_{k=1} B_ k x(t-\gamma_ k\cdot r)\right] =A_ 0 x(t)+ \sum^ N_{k=1} A_ k x(t-\gamma_ k\cdot r), \] where \(x\in\mathbb{R}^ n\), each \(A_
Liao, X.X., Wang, X.J.
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Stability of a rational difference equation
Applied Mathematics Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi Wang 0096 +3 more
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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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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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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 analysis of fractional difference equations with delay
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023 Long-term memory is a feature observed in systems ranging from neural networks to epidemiological models. The memory in such systems is usually modeled by the time delay. Furthermore, the nonlocal operators, such as the “fractional order difference,” can also have a long-time memory.
Divya D. Joshi +2 more
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