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Toward the universality of the Caldeira-Leggett oscillator bath as a model for quantum environments I. [PDF]
Sci RepHalataei SMH.
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High-dimensional neuronal activity from low-dimensional latent dynamics: a solvable model
Schmutz V +5 more
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On fourteen solvable systems of difference equations
Applied Mathematics and Computation, 2014zbMATH 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 p difference equations of higher order
Periodica Mathematica Hungarica, 2021This paper is devoted to the study of the following difference equation \[ x_{n+1}^{(j)}= \frac{x_{n-k}^{(j+1) \quad (\text{mod }p)}}{a+bx_{n-k}^{(j+1) \quad (\text{mod } p)}} \qquad \left(n, k, p \in \mathbb{N}_{0}, j= 1\, \ldots, p\right), \] where the parameters \(a, b\) are nonzero real numbers and the initial values \(x_{-k}^{(j)}, x_{-k+1}^{(j)},
Yacine Halim +3 more
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Solvability of a nonlinear fifth‐order difference equation
Mathematical Methods in the Applied Sciences, 2019Some 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 +3 more
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On the Solvability of Certain Systems of Linear Difference Equations
SIAM Journal on Mathematical Analysis, 1981For 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. +3 more
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On a solvable rational system of difference equations
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On some solvable systems of difference equations
Applied Mathematics and Computation, 2012The 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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On a solvable system of rational difference equations
Journal of Difference Equations and Applications, 2013We 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 +3 more
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