Results 11 to 20 of about 861,879 (285)
Stability and Stabilization of Impulsive Stochastic Delay Difference Equations [PDF]
Discrete Dynamics in Nature and Society, 2010 When an impulsive control is adopted for a stochastic delay difference system (SDDS), there are at least two situations that should be contemplated. If the SDDS is stable, then what kind of impulse can the original system tolerate to keep stable?
Kaining Wu, Xiaohua Ding, Liming Wang
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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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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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Global Asymptotic Stability of a Nonautonomous Difference Equation [PDF]
Journal of Applied Mathematics, 2014 We study the following nonautonomous difference equation:xn+1=(xnxn-1+pn)/(xn+xn-1),n=0,1,…, wherepn>0is a period-2 sequence and the initial valuesx-1,x0∈(0,∞). We show that the unique prime period-2 solution of the equation above is globally asymptotically stable.
Gumus, Mehmet, Ocalan, Ozkan
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Stability of delay parabolic difference equations
Filomat, 2014 In the present paper, the stability of difference schemes for the approximate solution of the initial value problem for delay differential equations with unbounded operators acting on delay terms in an arbitrary Banach space is studied. Theorems on stability of these difference schemes in fractional spaces are established.
Ashyralyev, Allaberen, Agirseven, Deniz
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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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Cauchy boundaries in linearized gravitational theory [PDF]
, 2000 We investigate the numerical stability of Cauchy evolution of linearized gravitational theory in a 3-dimensional bounded domain. Criteria of robust stability are proposed, developed into a testbed and used to study various evolution-boundary algorithms ...
A. Abrahams +32 more
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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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