Results 1 to 10 of about 1,849,805 (333)
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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Laguerre-Freud equations for Generalized Hahn polynomials of type I
, 2018 We derive a system of difference equations satisfied by the three-term recurrence coefficients of some families of discrete orthogonal ...
Dominici, Diego
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Complexiton Solutions of the Toda Lattice Equation
, 2004 A set of coupled conditions consisting of differential-difference equations is presented for Casorati determinants to solve the Toda lattice equation. One class of the resulting conditions leads to an approach for constructing complexiton solutions to ...
Ablowitz +18 more
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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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Trichotomy of a system of two difference equations
Journal of Mathematical Analysis and Applications, 2004 The authors study the boundedness and asymptotic behavior of positive solutions of the system of difference equations \[ x_{n+1}=A+\frac{\sum_{i=1}^{k} a_ix_{n-p_i}}{\sum_{j=1}^{m}b_jy_{n-q_j}},\qquad y_{n+1}=B+\frac{\sum_{i=1}^{k} c_iy_{n-p_i}}{\sum_{j=1}^{m}d_jx_{n-q_j}}, \] and obtain some results, where \(k, m\in \{1, 2, \ldots\}, A, B, a_i, c_i ...
Papaschinopoulos, G., Stefanidou, G.
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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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On Invariants for Difference Equations and Systems of Difference Equations of Rational Form
Journal of Mathematical Analysis and Applications, 1999 The author generalizes results of \textit{C. J. Schinas} [J. Math. Anal. Appl. 216, No. 1, 164-179 (1997; Zbl 0889.39006)] on invariants of difference equations of rational form to second- and third-order autonomous and nonautonomous difference equations.
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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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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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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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