Results 11 to 20 of about 2,765 (249)
Advances in Difference Equations, 2021 The well-known first-order nonlinear difference equation y n + 1 = 2 y n − x y n 2 , n ∈ N 0 , $$ y_{n+1}=2y_{n}-xy_{n}^{2}, \quad n\in {\mathbb {N}}_{0}, $$ naturally appeared in the problem of computing the reciprocal value of a given nonzero real ...
Stevo Stević
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Solvable subclasses of a class of nonlinear second-order difference equations
Advances in Nonlinear Analysis, 2016 We present some solvable subclasses of the class of nonlinear second-order difference equations of the form Axn+1 + Bxn+1xn + Cxnxn-1 + Gxn+1xn-1 + Dxn + Exn-1 + F = 0, n ∈ ℕ0, where the parameters A, B, C, D, E, F, G and the initial values x-1,x0 are ...
Stević Stevo
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New Quasi-Exactly Solvable Difference Equation [PDF]
Journal of Nonlinear Mathematical Physics, 2008 Exact solvability of two typical examples of the discrete quantum mechanics, i.e. the dynamics of the Meixner-Pollaczek and the continuous Hahn polynomials with full parameters, is newly demonstrated both at the Schroedinger and Heisenberg picture levels.
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New class of solvable systems of difference equations
Applied Mathematics Letters, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stevo Stevic
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On a solvable nonlinear difference equation of higher order
Turkish Journal of Mathematics, 2018 Summary: In this paper we consider the following higher-order nonlinear difference equation \[ x_{n}=\alpha x_{n-k}+\frac{\delta x_{n-k}x_{n-\left( k+l\right)}}{\beta x_{n-\left( k+l\right)}+\gamma x_{n-l}},\ n\in \mathbb{N}_{0}, \] where \(k\) and \(l\) are fixed natural numbers, and the parameters \(\alpha \), \( \beta \), \(\gamma \), \(\delta ...
Yasin Yazlik, Necati Taskara
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Formulation and evaluation of ocean dynamics problems as optimization problems for quantum annealing machines. [PDF]
PLoS ONERecent advancements in quantum computing suggest the potential to revolutionize computational algorithms across various scientific domains including oceanography and atmospheric science.
Takuro Matsuta, Ryo Furue
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Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 We investigate the Tricomi boundary value problem for a differential-difference leading-lagging equation of mixed type with non-Carleman deviations in all in all arguments of the required function.
Alexandr Nikolaevich Zarubin
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On a Class of Solvable Difference Equations [PDF]
Abstract and Applied Analysis, 2013 A class of difference equations which can be solved in closed form is presented in this paper. Obtained formulas for the solutions are used in the study of the asymptotic behavior of their solutions in a particular case.
Stevo Stević +3 more
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On Some Solvable Difference Equations and Systems of Difference Equations [PDF]
Abstract and Applied Analysis, 2012 Here, we give explicit formulae for solutions of some systems of difference equations, which extend some very particular recent results in the literature and give natural explanations for them, which were omitted in the previous literature.
Stević, Stevo +3 more
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Note on constructing a family of solvable sine-type difference equations
Advances in Difference Equations, 2021 We obtain a family of first order sine-type difference equations solvable in closed form in a constructive way, and we present a general solution to each of the equations.
Ahmed El-Sayed Ahmed +4 more
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