Results 61 to 70 of about 1,841,091 (232)
AIMS MathematicsThis paper presents a new model for a two-dimensional nonlinear difference system that incorporates symmetric interactions between two sequences through a scaling parameter $ d $ and a continuous one-to-one transformation function $ f $.
Ahmed A. Al Ghafli
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On a two-dimensional solvable system of difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 Here we solve the following system of difference equations $$x_{n+1}=\frac{y_ny_{n-2}}{bx_{n-1}+ay_{n-2}},\quad y_{n+1}=\frac{x_nx_{n-2}}{dy_{n-1}+cx_{n-2}},\quad n\in\mathbb{N}_0,$$ where parameters $a, b, c, d$ and initial values $x_{-j},$ $y_{-j}$, $j=
Stevo Stevic
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A note on general solutions to a hyperbolic-cotangent class of systems of difference equations
Advances in Difference Equations, 2020 Recently there has been some interest in difference equations and systems whose forms resemble some trigonometric formulas. One of the classes of such systems is the so-called hyperbolic-cotangent class of systems of difference equations.
Stevo Stević
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An Analysis of the Transition Zone Between the Various Scaling Regimes in the Small-World Model
, 2006 We analyse the so-called small-world network model (originally devised by Strogatz and Watts), treating it, among other things, as a case study of non-linear coupled difference or differential equations.
Lochmann, Andreas, Requardt, Manfred
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A k-Dimensional System of Fractional Finite Difference Equations
Abstract and Applied Analysis, 2014 We investigate the existence of solutions for a k-dimensional system of fractional finite difference equations by using the Kranoselskii’s fixed point theorem. We present an example in order to illustrate our results.
Dumitru Baleanu +2 more
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Solvability of a close to symmetric system of difference equations
Electronic Journal of Differential Equations, 2016 The problem of solvability of a close to symmetric product-type system of difference equations of second order is investigated. Some recent results in the literature are extended.
Stevo Stevic +2 more
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On a k-Order System of Lyness-Type Difference Equations
Advances in Difference Equations, 2007 We consider the following system of Lyness-type difference equations: x1(n+1)=(akxk(n)+bk)/xk−1(n−1), x2(n+1)=(a1x1(n)+b1)/xk(n−1), xi(n+1)=(ai−1xi−1(n)+bi−1)/xi−2(n−1), i=3,4,…,k, where ai, bi, i=1,2,…,k,
G. Papaschinopoulos +2 more
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Exact Solutions of System of Fourth-Order Difference Equations
Pan-American Journal of MathematicsIn this paper, we derive the solutions of system difference equations xn+1 = xn−1yn−3 / yn−1(a + bxn−1yn−3), yn+1 = yn−1xn−3 / xn−1(c + dyn−1xn−3), n∈N0, where the parameters a, b, c, d are real numbers and the initial conditions x−i and y−i for (i = 0,
Messaoud Berkal, Raafat Abo-Zeid
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On the solutions of a three-dimensional system of difference equations
Kuwait Journal of Science, 2015 In this paper, we obtain the explicit solutions of the three-dimensional system of difference equations with multiplicative terms, which extended some results in literature.
Yasin Yazlık +2 more
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