Results 11 to 20 of about 279,696 (263)
Computing difference abstractions of linear equation systems [PDF]
Theoretical Computer Science, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allart, Emilie +2 more
openaire +3 more sources
DIFFERENCE EQUATION OF LORENZ SYSTEM [PDF]
International Journal of Pure and Apllied Mathematics, 2013 This paper uses difference equation to explore some of the more obvious properties of the Lorenz equation. We will investigate changes in the behavior of solutions of the Lorenz equation as the parameter r is varied. A trajectory in phase space is analyzed when iterative equation is magnified.
J. Liang, W. Song
openaire +1 more source
Characterization of P-Semi Homogenous System of Difference Equations
Al-Mustansiriyah Journal of Science, 2023 The primary aim of this paper is to define new concepts, A homogenous system of difference equations is called -semi homogenous of order if there exists a non-zero matrix
Abdul Samad Ibrahim Hussein +1 more
doaj +1 more source
On the Periodic Solutions of Some Systems of Difference Equations
Communications in Advanced Mathematical Sciences, 2018 In this paper, we study the solution of the systems of difference equations \begin{equation*} x_{n+1}=\frac{1\pm (y_{n}+x_{n-1})}{y_{n-2}},\ \ \ y_{n+1}=\frac{1\pm (x_{n}+y_{n-1})}{x_{n-2}},\;\;n=0,1,..., \end{equation*}% {\Large \noindent }where the ...
E. M. Elsayed, H. S. Gafel
doaj +1 more source
Systems of Algebraic Mixed Difference Equations [PDF]
Transactions of the American Mathematical Society, 1935 In his algebraic theory of differential equations, J. F. Rittt has developed a decomposition theory for systems of algebraic differential equations by introducing the idea of irreducible systems and proving that every system is equivalent to one and essentially only one finite set of irreducible systems.
openaire +2 more sources
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
doaj +1 more source
On Some Symmetric Systems of Difference Equations [PDF]
Abstract and Applied Analysis, 2013 Here we show that the main results in the papers by Yalcinkaya (2008), Yalcinkaya and Cinar (2010), and Yalcinkaya, Cinar, and Simsek (2008), as well as a conjecture from the last mentioned paper, follow from a slight modification of a result by G. Papaschinopoulos and C. J. Schinas. We also give some generalizations of these results.
Josef Diblík +3 more
openaire +3 more sources
On a higher-order system of difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2013 Here we study the following system of difference equations \begin{align} x_n&=f^{-1}\bigg(\frac{c_nf(x_{n-2k})}{a_n+b_n\prod_{i=1}^kg(y_{n-(2i-1)})f(x_{n-2i})}\bigg),\nonumber\\ y_n&=g^{-1}\bigg(\frac{\gamma_n g(y_{n-2k})}{\alpha_n+\beta_n \prod_{i=1}^kf(
Stevo Stevic +3 more
doaj +1 more source
SYSTEMS OF DIFFERENCE EQUATIONS APPROXIMATING THE LORENZ SYSTEM OF DIFFERENTIAL EQUATIONS
Contributions, Section of Natural, Mathematical and Biotechnical Sciences, 2017 A b s t r a c t: In this paper, starting from the Lorenz system of differential equations, some systems of difference equations are produced. Using some regularities in these systems of difference equations, polynomial approximations of their solutions are found.
Zlatanovska, Biljana, Dimovski, Donco
openaire +4 more sources
Advances in Difference Equations, 2018 We represent general solution to a homogeneous linear difference equation of second order in terms of a specially chosen solution to the equation and apply it to get a representation of general solution to the bilinear difference equation in terms of a ...
Stevo Stević
doaj +1 more source