On positive solutions of a reciprocal difference equation with minimum
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Publication:1767389
DOI10.1007/BF02936057zbMath1074.39002MaRDI QIDQ1767389
Cengiz Çinar, Stevo Stević, İbrahim Yalçinkaya
Publication date: 10 March 2005
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Related Items (38)
Convergence of periodically forced rank-type equations ⋮ Long-term behavior of positive solutions of a system of max-type difference equations ⋮ Global behavior of the max-type difference equation \(x_n = \max \{\frac{1}{x_{n - m}}, \frac{A_n}{x_{n - r}}\}\) ⋮ On the periodicity of solutions of max‐type difference equation ⋮ On a generalized max-type difference equation from automatic control theory ⋮ Boundedness character of a fourth order nonlinear difference equation ⋮ Convergence of rank-type equations ⋮ On a nonlinear generalized max-type difference equation ⋮ Solution of the maximum of difference equation \(x_{n + 1} = \max \left\{\frac{A}{x_{n-1}}, \frac{y_{n}}{x_{n}}\right\};\,\,y_{n+1} = \max\left\{\frac{A}{y_{n-1}},\frac{x_{n}}{y_{n}}\right\}\) ⋮ On the boundedness of positive solutions of the reciprocal MAX-type difference equation \(x_n=\max\left\{\frac{A_{n-1}^1}{x_{n-1}},\frac{A_{n-1}^2}{x_{n-2}},\cdots,\frac{A_{n-1}^t}{x_{n-t}}\right\}\) with periodic parameters ⋮ Solutions of a max-type system of difference equations ⋮ On the recursive sequence \(x_{n+1} = \max\{x_n,A\}/x_n^2x_{n - 1}\) ⋮ On a symmetric system of max-type difference equations ⋮ On the periodicity of a difference equation with maximum ⋮ On the asymptotic behavior of a difference equation with maximum ⋮ Positive solution of second-order multi-point boundary value problems for finite difference equation with a \(p\)-Laplacian ⋮ On the recursive sequence \(x_{n+1} = \max \left\{ c, \frac {x_n^p}{x_{n-1}^p} \right\}\) ⋮ On a max-type difference equation ⋮ Solvability of a system of higher order nonlinear difference equations ⋮ Global stability of a max-type difference equation ⋮ On the max-type difference equation \(x_{n+1}=\max\{A/x_n,x_{n - 3}\}\) ⋮ On a max-type difference equation ⋮ Periodicity of a class of nonautonomous max-type difference equations ⋮ On the asymptotic behavior and periodic nature of a difference equation with maximum ⋮ On a max-type difference inequality and its applications ⋮ On the recursive sequence \(x_{n+1}=\frac{a x^p_{n-2m+1}}{b+cx_{n-2k}^{p-1}}\) ⋮ Dynamics of the max-type difference equation \({x_n=\max\{\frac{1}{x_{n-m}},\frac{A_n}{x_{n-r}}\}}\) ⋮ On a max-type and a min-type difference equation ⋮ Boundedness character of a class of difference equations ⋮ Global convergence of max-type equations ⋮ Global stability of a difference equation with maximum ⋮ On the max-type equation \(x_{n+1}=\max \{\frac{A}{x_n},x_{n-2}\}\) ⋮ Boundedness character of two classes of third-order difference equations(1 ⋮ On the max-type equation \(x_{n+1} = \max \{1/x_n, A_nx_{n-1}\}\) with a period-two parameter ⋮ Global behavior of the max-type difference equation \(x_{n+1}=\max\{1/x_{n},A_{n}/x_{n - 1}\}\) ⋮ On the solutions of the system of difference equations \(x_{n+1}=\max\{A/x_n,y_n/x_n\}\), \(y_{n+1}=\max\{A/y_n,x_n/y_n\}\) ⋮ On the global attractivity of a max-type difference equation ⋮ On the solutions of a class of max-min-type difference equation system
Cites Work
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- On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_{n-1}}{1+g(x_n)}\)
- On the recursive sequence \(x_{n+1}=x_{n-1}/g(x_n)\)
- The recursive sequence \(x_{n+1} = g(x_{n},x_{n-1})/(A + x_{n})\)
- A reciprocal difference equation with maximum
- A difference equation with eventually periodic solutions
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