Results 31 to 40 of about 1,841,091 (232)
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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Quantization scheme for modular q-difference equations [PDF]
, 2004 Modular pairs of some second order q-difference equations are considered. These equations may be interpreted as a quantum mechanics of a sort of hyperelliptic pendulum.
Sergeev, S.
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Dynamics of difference systems: a mathematical study with applications to neural systems
AIMS MathematicsThis paper examines the dynamics of a three-dimensional system of difference equations through mathematical transformations and computational analysis. By transforming the original system into a bilinear form, we were able to simplify its structure and ...
Hashem Althagafi
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A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations [PDF]
, 2013 A macroscopic model to describe the dynamics of ion transport in ion channels is the Poisson-Nernst-Planck(PNP) equations. In this paper, we develop a finite-difference method for solving PNP equations, which is second-order accurate in both space and ...
Eisenberg, Bob +5 more
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On the Solutions of Systems of Difference Equations [PDF]
Advances in Difference Equations, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yalcinkaya, Ibrahim +2 more
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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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Symmetries of Discrete Dynamical Systems Involving Two Species [PDF]
, 1998 The Lie point symmetries of a coupled system of two nonlinear differential-difference equations are investigated. It is shown that in special cases the symmetry group can be infinite dimensional, in other cases up to 10 dimensional.
D. Gómez-Ullate +4 more
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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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Oscillation for System of Delay Difference Equations
Journal of Mathematical Analysis and Applications, 1999 Consider the system of difference equations \[ x_i(t)-x_i(t-\sigma) +\sum^l_{k=1} \sum^n_{j=1}p_{ijk} x_j(t-\tau_k)=0,\;i=1,2,\dots, n,\tag{*} \] where \(p_{ijk}\in\mathbb{R}\), \(\sigma\) and \(\tau_k\in (0,\infty)\), \(i,j=1,2, \dots, n\), \(k=1,2,\dots,l\).
Yan, Jurang, Zhang, Fengqin
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Third-order integrable difference equations generated by a pair of second-order equations
, 2005 We show that the third-order difference equations proposed by Hirota, Kimura and Yahagi are generated by a pair of second-order difference equations. In some cases, the pair of the second-order equations are equivalent to the Quispel-Robert-Thomson(QRT)
Daisuke Takahashi +6 more
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