Results 11 to 20 of about 1,841,091 (232)
On Some Solvable Difference Equations and Systems of Difference Equations [PDF]
Abstract and Applied Analysis, 2012 Here, we give explicit formulae for solutions of some systems of difference equations, which extend some very particular recent results in the literature and give natural explanations for them, which were omitted in the previous literature.
Stević, Stevo +3 more
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Theoretical and numerical analysis of solutions of some systems of nonlinear difference equations
AIMS Mathematics, 2022 In this paper, we obtain the form of the solutions of the following rational systems of difference equations $ \begin{equation*} x_{n+1} = \dfrac{y_{n-1}z_{n}}{z_{n}\pm x_{n-2}}, \;y_{n+1} = \dfrac{z_{n-1}x_{n} }{x_{n}\pm y_{n-2}}, \ z_{n+1} = \dfrac ...
E. M. Elsayed, Q. Din, N. A. Bukhary
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Characterization of Homogeneous System of Difference Equations
Al-Mustansiriyah Journal of Science, 2021 In this paper, we introduced new definitions of the system of homogenous difference equations of order two; namely homogenous and semi homogenous system, where we focused on finding the equivalents for these definitions of order one as well as of order ...
Huda Hussein Abed +1 more
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On Two Systems of Difference Equations [PDF]
Discrete Dynamics in Nature and Society, 2010 We give very short and elegant proofs of the main results in the work of Yalcinkaya et al. (2008).
Bratislav Iričanin, Stevo Stević
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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
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Investigation of the global dynamics of two exponential-form difference equations systems
Electronic Research Archive, 2023 In this study, we investigate the boundedness, persistence of positive solutions, local and global stability of the unique positive equilibrium point and rate of convergence of positive solutions of the following difference equations systems of ...
Merve Kara
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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
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On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]
, 1999 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz +25 more
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Double affine Hecke algebras and bispectral quantum Knizhnik-Zamolodchikov equations [PDF]
, 2009 We use the double affine Hecke algebra of type GL_N to construct an explicit consistent system of q-difference equations, which we call the bispectral quantum Knizhnik-Zamolodchikov (BqKZ) equations.
Jasper V. Stokman, Meer, Michel Van
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Dynamics of a rational system of difference equations in the plane [PDF]
, 2010 We consider a rational system of first order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different values of the parameters, the global and local properties of the system. In
Bajo, Ignacio +2 more
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