Results 1 to 10 of about 1,860 (94)
General solution to subclasses of a two-dimensional class of systems of difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We show practical solvability of the following two-dimensional systems of difference equations $$x_{n+1}=\frac{u_{n-2}v_{n-3}+a}{u_{n-2}+v_{n-3}},\quad y_{n+1}=\frac{w_{n-2}s_{n-3}+a}{w_{n-2}+s_{n-3}},\quad n\in\mathbb{N}_0,$$ where $u_n$, $v_n,$ $w_n ...
Stevo Stevic
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Electronic Journal of Qualitative Theory of Differential Equations, 2022 We present thirty-six classes of three-dimensional systems of difference equations of the hyperbolic-cotangent type which are solvable in closed form.
Stevo Stevic
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Pan-American Journal of Mathematics, 2023 A definition of system of two nonlinear difference equations with variable coefficients is given. Our main result shows that the difference equation is solvable in closed form and thus for the constant coefficients.
Ahmed Ghezal, Imane Zemmouri
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Considering the two spin and the two angular momenta string solutions in AdS5 × S5
Nuclear Physics B, 2022 In this paper, we consider two almost opposite sectors of actual string configuration ansätze in AdS5×S5, which anyway have almost the same features: The two spin solution, which has constant angles in S5 and the two angular momenta solution, which has ...
Arne L. Larsen
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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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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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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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Difference problems generated by infinite systems of nonlinear parabolic functional differential equations with the Robin conditions [PDF]
Opuscula Mathematica, 2014 We consider the classical solutions of mixed problems for infinite, countable systems of parabolic functional differential equations. Difference methods of two types are constructed and convergence theorems are proved.
Wojciech Czernous +1 more
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Solvable product-type system of difference equations with two dependent variables
Advances in Difference Equations, 2017 It has been recently noticed that there is a finite number of two-dimensional classes of product-type systems of difference equations solvable in closed form. We present a new class of this type. A detailed analysis of the form of its solutions is given.
Stevo Stević
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Product-type system of difference equations of second-order solvable in closed form
Electronic Journal of Qualitative Theory of Differential Equations, 2015 This paper presents solutions of the following second-order system of difference equations $$x_{n+1}=\frac{y_n^a}{z_{n-1}^b},\qquad y_{n+1}=\frac{z_n^c}{x_{n-1}^d},\qquad z_{n+1}=\frac{x_n^f}{y_{n-1}^g},\qquad n\in N_0,$$ where $a,b,c,d,f,g\in Z$, and ...
Stevo Stevic
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