Hyers–Ulam stability of non-autonomous and nonsingular delay difference equations
Advances in Difference Equations, 2021 In this paper, we study the uniqueness and existence of the solution of a non-autonomous and nonsingular delay difference equation using the well-known principle of contraction from fixed point theory.
Gul Rahmat +5 more
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Note on stability estimation of stochastic difference equations
Open MathematicsStability estimates are proposed for two variants of Markov processes defined by stochastic difference equations: uncontrolled and controlled. Processes of this type are widely used in applications where their “governing distributions” are known only ...
Gordienko Evgueni, Ruiz de Chavez Juan
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The Robustness of Strong Stability of Positive Homogeneous Difference Equations
Journal of Applied Mathematics, 2008 We study the robustness of strong stability of the homogeneous difference equation via the concept of strong stability radii: complex, real and positive radii in this paper. We also show that in the case of positive systems, these radii coincide. Finally,
The Anh Bui, Dang Xuan Thanh Duong
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, 2016 In this paper we investigate the stability of linear singular systems of difference equations with variable coefficients by the projector-based approach.
Du N.H., Nga N.T.T., Linh V.H.
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Theoretical analysis (convergence and stability) of a difference approximation for multiterm time fractional convection diffusion-wave equations with delay [PDF]
, 2020 In this paper, we introduce a high order numerical approximation method for convection diffusion wave equations armed with a multiterm time fractional Caputo operator and a nonlinear fixed time delay.
A. S. Hendy +4 more
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Exponential Stability of Difference Equations with Several Delays: Recursive Approach
Advances in Difference Equations, 2009 We obtain new explicit exponential stability results for difference equations with several variable delays and variable coefficients. Several known results, such as Clark's asymptotic stability criterion, are generalized and extended to a new class ...
Leonid Berezansky, Elena Braverman
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Global behavior of the solutions of some difference equations
Advances in Difference Equations, 2011 In this article we study the difference equation x n + 1 = a x n - l x n - k b x n - p - c x n - q , n = 0 , 1 , … , where the initial conditions x-r, x-r+1, x-r+2,..., x0 are arbitrary positive real ...
El-Metwally Hamdy +2 more
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On the global stability of some k-order difference equations [PDF]
Results in Nonlinear Analysis, 2018 We use two different techniques, one of them including fixed point tools, i.e., the Prešić type fixed point theorem, in order to study the asymptotic stability of some k-order difference equations for k = 1 and k = 2. In this way, we can study the global
Vasile Berinde , Hafiz Fukhar-ud-din , Mădălina Păcurar
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Stability Analysis of a Class of Higher Order Difference Equations
Abstract and Applied Analysis, 2014 We consider the sufficient conditions for asymptotic stability and instability of certain higher order nonlinear difference equations with infinite delays in finite-dimensional spaces.
Yuanyuan Liu, Fanwei Meng
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Almost sure exponential stability of numerical solutions for stochastic delay differential equations [PDF]
, 2010 Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
Szpruch, Lukasz, Wu, Fuke, Mao, Xuerong
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