in this paper we investigate the behavior of solutions, stable and unstable of the solutions a second-order rational difference equation. also we will discuss about the behavior of solutions a the rational system, we show these solutions may be stable or unstable.

16 [16] S. Mallat Multiresolution approximation and wavelet orthonormal bases of L 2 (R) Transactions of AMS. vol 135 (1989) [17] K.J. Marfurt Accuracy of nite-dierence and nite-element modeling of the scalar wave equation. [21] V. Perrier & C. Basdevant La d ecomposition en ondelettes p eriodiques, un outil pour l'analyse de champs inhomog enes. Th eorie et algorithmes. La Recherche A erospati...

Due to the success of dierential and linear attacks on a large number of encryption algorithms, it is important t o investigate relationships among the various cryptographic, including dierential and linear, characteristics of an S-box (substitution box). After discussing a precise relationship among three tables, namely the dierence, auto-correlation and correlation immunity distribution table...

| Matrix decomposition algorithms employing fast Fourier transforms were developed recently by the authors to solve the systems of linear algebraic equations that arise when piecewise Hermite bicubic orthogonal spline collocation (OSC) is applied to certain separable elliptic boundary value problems on a rectangle. In this paper, these algorithms are interpreted as Fourier methods in analogy wi...

In this work we introduce the notion of fuzzy volterra dierence equations and study the dynamicalproperties of some classes of this type of equations. We prove some comparison theorems for theseequations in terms of ordinary volterra dierence equations. Using these results the stability of thefuzzy nonlinear volterra dierence equations is investigated.

In this paper we investigate the behavior of solutions, stable and unstable of the solutions a second-order rational difference equation. Also we will discuss about the behavior of solutions a the rational system, we show these solutions may be stable or unstable.  

We analyze a simple system of conservation laws with a strong relaxation term. Well-posedness of the Cauchy problem, in the framework of BV-solutions, is proved. Furthermore, we prove that the solutions converge towards the solution of an equilibrium model as the relaxation time > 0 tends to zero. Finally, we show that the dierence between an equilibrium solution (= 0) and a non-equilibrium sol...