Results 61 to 70 of about 173,435,843 (136)
MathematicsThis paper aims to derive analytical expressions for solutions of fractional bidimensional systems of difference equations with higher-order terms under specific parametric conditions. Additionally, formulations of solutions for one-dimensional equations
Hashem Althagafi, Ahmed Ghezal
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Fixed points and asymptotic stability of nonlinear fractional difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, we discuss nonlinear fractional difference equations with the Caputo like difference operator. Some asymptotic stability results of equations under investigated are obtained by employing Schauder fixed point theorem and discrete Arzela ...
Fulai Chen
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Stability for a class of difference equations
Journal of Computational and Applied Mathematics, 2009 The authors consider the gobal asymptotical stability of the zero of the following nonlinear difference equations with unbounded delays: \[ x_{i+1}=qx_i-\sum^i_{j=-\infty}a_{ij}f_{i-j}(x_j),\quad i=0,1,\dots, \] \[ x_j=\phi_j,\quad ...
Muroya, Yoshiaki, Ishiwata, Emiko
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Global Asymptotic Stability in a Class of Difference Equations
Advances in Difference Equations, 2007 We study the difference equation , , , where and are all continuous functions, and We prove that this difference equation admits as the globally asymptotically stable equilibrium. This result extends and generalizes some previously known results.
Cao Jianqiu +3 more
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Stability of Equilibrium Points of Fractional Difference Equations with Stochastic Perturbations
Advances in Difference Equations, 2008 It is supposed that the fractional difference equation xn+1=(μ+∑j=0kajxn−j)/(λ+∑j=0kbjxn−j), n=0,1,…, has an equilibrium point x^ and is exposed to additive stochastic perturbations type of Ã(xn−x^)ξn+1 that are ...
Beatrice Paternoster, Leonid Shaikhet
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The Scientific World Journal, 2014 Differential inequalities, comparison results, and sufficient conditions on initial time difference stability, boundedness, and Lagrange stability for fractional differential systems have been evaluated.
Muhammed Çiçek +2 more
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On the Dynamics of Some Higher-Order Nonlinear Difference Equations
This research investigates the dynamics of higher-order nonlinear difference equations, specifically concentrating on seventh-order instances. Analytical solutions are obtained for particular equations, a formidable task owing to the absence of explicit ...
Md Rifat Hasan, Turki D. Alharbi
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On stochastic stabilization of difference equations
Discrete and Continuous Dynamical Systems, 2006 We consider unstable scalar deterministic difference equation $x_{n+1}=x_n(1+a_nf(x_n))$, $n\ge 1$, $x_0=a$. We show how this equation can be stabilized by adding the random noise term $\sigma_ng(x_n)\xi_{n+1}$ where $\xi_n$ takes the values +1 or -1 each with probability $1/2$.
John A. D. Appleby +2 more
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Characteristics of Conservation Laws for Difference Equations [PDF]
, 2013 Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
Hydon, PE +3 more
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Strong Stability of Linear Delay-Difference Equations
IEEE Control Systems LettersThis paper considers linear delay-difference equations, that is, equations relating the state at a given time with its past values over a given bounded interval. After providing a well-posedness result and recalling Hale--Silkowski Criterion for strong stability in the case of equations with finitely many pointwise delays, we propose a generalization ...
Felipe Gonçalves Netto +2 more
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