Results 21 to 30 of about 1,841,091 (232)
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
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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.
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SU(N) Matrix Difference Equations and a Nested Bethe Ansatz [PDF]
, 1996 A system of SU(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz, also called "off shell" Bethe Ansatz. The highest weight property of the solutions is proved.
Babujian, H., Karowski, M., Zapletal, A.
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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
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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
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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
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Bispectral quantum Knizhnik-Zamolodchikov equations for arbitrary root systems [PDF]
, 2009 The bispectral quantum Knizhnik-Zamolodchikov (BqKZ) equation corresponding to the affine Hecke algebra $H$ of type $A_{N-1}$ is a consistent system of $q$-difference equations which in some sense contains two families of Cherednik's quantum affine ...
van Meer, Michel
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Difference Equations Compatible with Trigonometric KZ Differential Equations [PDF]
, 2000 The trigonometric KZ equations associated with a Lie algebra $\g$ depend on a parameter $\lambda\in\h$ where $\h\subset\g$ is the Cartan subalgebra. We suggest a system of dynamical difference equations with respect to $\lambda$ compatible with the KZ ...
Tarasov, V., Varchenko, A.
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Gr\"obner Bases and Generation of Difference Schemes for Partial Differential Equations [PDF]
, 2006 In this paper we present an algorithmic approach to the generation of fully conservative difference schemes for linear partial differential equations. The approach is based on enlargement of the equations in their integral conservation law form by extra ...
Blinkov, Yuri A. +2 more
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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
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