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Solvability of Difference Riccati Equations by Elementary Operations

Solvability of Difference Riccati Equations by Elementary Operations
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Solvability of a nonlinear fifth‐order difference equation

Mathematical Methods in the Applied Sciences, 2019
Some formulas for well‐defined solutions to four very special cases of a nonlinear fifth‐order difference equation have been presented recently in this journal, where some of them were proved by the method of induction, some are only quoted, and no any theory behind the formulas was given.
Stevo Stević, Bratislav Iričanin, Witold Kosmala, Zdeněk Šmarda   +3 more
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On fourteen solvable systems of difference equations

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tollu, D. T., Yazlik, Y., Taskara, N.
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On a solvable system of rational difference equations

Journal of Difference Equations and Applications, 2013
We show that the following system of difference equationswhere , , , and sequences , , and are real, can be solved in closed form. For the case when the sequences , , and are constant and , we apply obtained formulas in the investigation of the asymptotic behaviour of well-defined solutions of the system. We also find domain of undefinable solutions of
Stevo Stević, Josef Diblík, Bratislav Iričanin, Zdeněk Šmarda   +3 more
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Solvability conditions for infinite systems of difference equations

Journal of Difference Equations and Applications, 2009
The Fredholm property of some linear infinite dimensional difference operators is studied. In the case corresponding to discretization of differential equations on the real axis, the index of the corresponding operators is computed and solvability conditions for the nonhomogeneous problem are established.
N. Apreutesei, V. Volpert
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On some solvable systems of difference equations

Applied Mathematics and Computation, 2012
The author studies the following system of difference equations \[ x_{n+1}=\frac{u_n}{1+v_n}, \qquad y_{n+1}=\frac {w_n}{1+s_n}, \qquad n\in \mathbb{N}_0, \] where \(u_n\), \(v_n\), \(w_n\), \(s_n\) are some of the sequences \(x_n\) or \(y_n\), with real initial values \(x_0\) and \(y_0\).
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Solvability of a \((k+l)\)-order nonlinear difference equation

2021
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Kara, Merve, Yazlik, Yasin
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On the Solvability of Certain Systems of Linear Difference Equations

SIAM Journal on Mathematical Analysis, 1981
For a certain class of block Toeplitz matrices, we identify the smallest sector containing the zeros of the determinant for the corresponding symbol.
Cavaretta, A. S. jun., Dahmen, W., Micchelli, C. A., Smith, P. W.   +3 more
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A solvable system of nonlinear difference equations

2020
In this paper, we show that the following systems of nonlinear difference equationsx_{n+1}=((x_{n}y_{n}+a)/(x_{n}+y_{n})),y_{n+1}=((y_{n}z_{n}+a)/(y_{n}+z_{n})),z_{n+1}=((z_{n}x_{n}+a)/(z_{n}+x_{n})) for n∈ℕ₀where a∈[0,∞) and the initial values x₀, y₀, z₀ are real numbers, can be solved in explicit form.
ŞAHİNKAYA, Abdullah, YALÇINKAYA, İbrahim, TOLLU, Durhasan Turgut   +2 more
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ON A SOLVABLE DIFFERENCE EQUATION WITH SEQUENCE COEFFICIENTS

Advances and Applications in Discrete Mathematics, 2022
Gelişken, Ali, Karataş, Ramazan
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