Results 1 to 10 of about 4,153,672 (273)
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.
exaly +4 more sources
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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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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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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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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Solution of a Solvable System of Difference Equation
Ikonion Journal of Mathematics, 2022 In this study we give solutions for the following difference equation sytem x_{n+1}= (a.x_{n}y_{n-3}/y_{n-2}-\alpha)+\beta y_{n+1}=(b.x_{n-3}y_{n}/x_{n-2}-\beta) +\alpha n ∈N0 where the parameters a,b,, and initial values x_{-i}, y_{-i}, i=0,1,2,3 are non-zero real numbers. We show the asymptotic behavior of the system of equation.
GELİŞKEN, Ali, ARI, Murat
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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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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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