Results 31 to 40 of about 1,849,805 (333)
Discrete Orthogonal Polynomials with Hypergeometric Weights and Painlev\'e VI [PDF]
, 2018 We investigate the recurrence coefficients of discrete orthogonal polynomials on the non-negative integers with hypergeometric weights and show that they satisfy a system of non-linear difference equations and a non-linear second order differential ...
Filipuk, Galina, Van Assche, Walter
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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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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
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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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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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Oscillatory Properties of Solutions of the Fourth Order Difference Equations with Quasidifferences [PDF]
, 2014 A class of fourth--order neutral type difference equations with quasidifferences and deviating arguments is considered. Our approach is based on studying the considered equation as a system of a four--dimensional difference system.
Jankowski, Robert +2 more
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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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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
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Parameter interval of positive solutions for a system of fractional difference equation
Advances in Difference Equations, 2020 This paper deals with a typical system of Caputo fractional difference equations. Using the Guo–Krasnosel’skii fixed point theorem, we find a parameter interval for which at least one positive solution of the system exists.
Kazem Ghanbari, Tahereh Haghi
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Invariant manifolds for analytic difference equations
, 2012 We use a modification of the parameterization method to study invariant manifolds for difference equations. We establish existence, regularity, smooth dependence on parameters and study several singular limits, even if the difference equations do not ...
de la Llave, Rafael, Lomeli, Hector E.
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