Results 21 to 30 of about 173,435,843 (136)
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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, 2020 In this paper, by using the Banach contraction principle and the Schauder’s fixed point theorem, we investigate existence results for a fractional impulsive sum-difference equations with periodic boundary conditions.
Rujira Ouncharoen +2 more
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The Stability Cone for a Matrix Delay Difference Equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We construct a stability cone, which allows us to analyze the stability of the matrix delay difference equation xn = Axn−1 + Bxn−k. We assume that A and B are m × m simultaneously triangularizable matrices. We construct m points in ℝ3 which are functions of eigenvalues of matrices A, B such that the equation is asymptotically stable if and only if all
Mikhail M. Kipnis, Vera V. Malygina
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On the local dynamics of polynomial difference equations with fading stochastic perturbations [PDF]
, 2010 We examine the stability-instability behaviour of a polynomial difference equa- tion with state-independent, asymptotically fading stochastic perturbations. We find that the set of initial values can be partitioned into a stability region, an instability
Kelly, C. +3 more
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Stability Analysis of a System of Exponential Difference Equations
Discrete Dynamics in Nature and Society, 2014 We study the boundedness character and persistence, existence and uniqueness of positive equilibrium, local and global behavior, and rate of convergence of positive solutions of the following system of exponential difference equations: xn+1=(α1+β1e-xn ...
Q. Din, K. A. Khan, A. Nosheen
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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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Stability and Stabilization of Impulsive Stochastic Delay Difference Equations
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 of a Class of Nonlinear Difference Equations
Journal of Mathematical Analysis and Applications, 1999 Using KAM theory, the authors investigate the stability nature of the zero equilibrium of the system of two nonlinear difference equations \[ \left.\begin{matrix} x_{n+1}=a_1x_n+b_1y_n+f(c_1x_n+c_2y_n)=F_1(x_n,y_n)\\ y_{n+1}=a_2x_n+b_2y_n+f(c_1x_n+c_2y_n)=F_2(x_n,y_n)\end{matrix} \right\}, \quad n=0,1,\dots, \tag{*} \] \(n=0,1,2,\dots\), where \(a_i ...
Papaschinopoulos, G, Schinas, C.J
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Global Asymptotic Stability in a Class of Difference Equations
Advances in Difference Equations, 2008 We study the difference equation xn=[(f×g1+g2+h)/(g1+f×g2+h)](xn−1,…,xn−r), n=1,2,…, x1−r,…,x0>0, where f,g1,g2:(R+)r→R+ and h:(R+)r→[0,+∞) are all continuous functions, and min1≤i≤r{ui,1/ui ...
Jianqiu Cao +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper we analyze the existence of bounded solutions for a nonlinear second-order neutral difference equation, which is more general than other equations of this type studied recently.
Gonzalo García
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