Results 71 to 80 of about 78,766 (164)

Algorithms for 2-Solvable Difference Equations

Our paper "Solving Third Order Linear Difference Equations in Terms of Second Order Equations" gave two algorithms for solving difference equations in terms of lower order equations: an algorithm for absolute factorization, and an algorithm for solving third order equations in terms of second order.
KaedBey, Heba Bou, Van Hoeij, Mark
openaire   +2 more sources

Solvability of a Three-Dimensional System of Nonlinear Difference Equations

Mathematical Sciences and Applications E-Notes, 2022
In this paper, we solve the following three-dimensional system of difference equationsxn=yn−4zn−5yn−1(an+bnzn−2xn−3yn−4zn−5),yn=zn−4xn−5zn−1(αn+βnxn−2yn−3zn−4xn−5),zn=xn−4yn−5xn−1(An+Bnyn−2zn−3xn−4yn−5), n∈N0,xn=yn−4zn−5yn−1(an+bnzn−2xn−3yn−4zn−5),yn=zn−4xn−5zn−1(αn+βnxn−2yn−3zn−4xn−5),zn=xn−4yn−5xn−1(An+Bnyn−2zn−3xn−4yn−5), n∈N0,where the sequences ...
openaire   +3 more sources

Symmetries of Discrete Systems

, 2003
In this series of lectures presented at the CIMPA Winter School on Discrete Integrable Systems in Pondicherry, India, in February, 2003 we give a review of the application of Lie point symmetries, and their generalizations to the study of difference ...
Grammaticos, Basil, Kosmann-Schwarzbach, Yvette, Tamizhmani, Thamizharasi   +2 more
core   +3 more sources

Some functional-difference equations solvable in finitary functions [PDF]

St. Petersburg Mathematical Journal, 2007
The following equation \(q(-i\partial/\partial x)u(x)=(f\ast u)(Ax)\) is considered, where \(q\) is a polynomial with complex coefficients, \(f\) is a compactly supported distribution, and \(A:\mathbb{R}^n\to \mathbb{R}^n\) is a linear operator whose complexification has no spectrum in the closed unit disk. The author showed that the above equation has
openaire   +2 more sources

NUMERICAL COMPUTATION OF ELECTRIC FIELDS IN PRESENCE OF CURVILINEAR INTERFACE BETWEEN CONDUCTIVE AND NON-CONDUCTIVE MEDIA

Electrical engineering & Electromechanics, 2016
Purpose. To elaborate a method of electric field numerical calculation in systems with curved boundaries between conductive and non-conductive mediums at final volume method usage and application of the rectangular grids. Methodology.
E.I. Sokol, M.M. Rezinkina, E.V. Sosina, O.G. Gryb   +3 more
doaj   +1 more source

On some classes of solvable systems of difference equations [PDF]

Advances in Difference Equations, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stevo Stević, Bratislav Iričanin, Witold Kosmala, Zdeněk Šmarda   +3 more
openaire   +2 more sources

A solvable system of difference equations [PDF]

, 2020
Summary: In this paper, we show that the system of difference equations \[x_n={\frac{ay^p_{n-1}+b(x_{n-2}y_{n-1})^{p-1}}{cy_{n-1}+dx^{p-1}_{n-2}}},\ y_n={\frac{{\alpha}x^p_{n-1}+{\beta}(y_{n-2}x_{n-1})^{p-1}}{{\gamma}x_{n-1}+{\delta}y^{p-1}_{n-2}}}, \] \(n\in \mathbb{N}_0\) where the parameters \(a, b, c, d, \alpha, \beta, \gamma, \delta, p\) and the ...
Taskara, Necati., Tollu, Durhasan T., Touafek, Nouressadat., Yazlik, Yasin.   +3 more
openaire   +2 more sources

Solvability and different solutions of the operator equation $$XAX=BX$$

Annals of Functional Analysis, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Dual Resonance Model Solves the Yang-Baxter Equation

, 1997
The duality of dual resonance models is shown to imply that the four point string correlation function solves the Yang-Baxter equation. A reduction of transfer matrices to $A_l$ symmetry is described by a restriction of the KP $\tau$ function to Toda ...
Baxter R J, Caneschi L, Caneschi L, Carroll R W, Date E, Date E, Date E, Date E, Della Selva A, Faddeev L D, Hirota R, Hirota R, Hirota R, Kashaev R M, Kato H, Korepanov I, Korepanov I, Krichever I, Kuniba A, Kuniba A, Kuniba A, Miwa T, Saito S, Saito S, Saito S, Saitoh N, Saitoh N, Saitoh N, Sato M, Sato M, Sato M, Satoru Saito, Sciuto S, See for instance, Sogo K   +34 more
core   +2 more sources

Solvability of boundary-value problems for a linear partial difference equation

Electronic Journal of Differential Equations, 2017
In this article we consider the two-dimensional boundary-value problem $$\displaylines{ d_{m,n}=d_{m-1,n}+f_nd_{m-1,n-1},\quad 1\le ...
Stevo Stevic
doaj