On a class of solvable higher-order difference equations
From MaRDI portal
Publication:5005488
DOI10.2298/FIL1702461SzbMath1488.39019MaRDI QIDQ5005488
Mohammed Ali Alghamdi, Stevo Stević, Elsayed M. Elsayed, Abdullah M. Alotaibi
Publication date: 10 August 2021
Published in: Filomat (Search for Journal in Brave)
long-term behaviorlinear first-order difference equationsolvable difference equationdomain of undefinable solutions
Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22)
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Cites Work
- On the difference equation \(x_{n}=x_{n-k} / (b+cx_{n-q}+\dots{ }+x_{n-k})\)
- On some solvable systems of difference equations
- On the difference equation \(x_{n} = x_{n - 2}/(b_{n} + c_{n}x_{n - 1}x_{n - 2})\)
- On a third-order system of difference equations
- On a third-order system of difference equations with variable coefficients
- Solutions of a max-type system of difference equations
- On the difference equation \(x_{n+1} = x_nx_{n-k}/(x_{n-k+1}(a + bx_nx_{n-k}))\)
- On difference equations with powers as solutions and their connection with invariant curves
- Periodicity of a class of nonautonomous max-type difference equations
- On some systems of difference equations
- Dynamics of a \(k\)th order rational difference equation
- A short proof of the Cushing-Henson conjecture
- On the positive solutions of the difference equation \(x_{n+1}=(x_{n-1})/(1+x_{n} x_{n-1})\).
- On the recursive sequence \(x_{n+1}=\frac{A}{\prod^ k_{i=0}x_{n-i}}+\frac{1}{\prod^{2(k+1)}_{j=k+2}x_{n-j}}\).
- Convergence of solutions in a nonhyperbolic case.
- On some solvable difference equations and systems of difference equations
- On a class of solvable difference equations
- On the system \(x_{n+1}=y_nx_{n-k}/(y_{n-k+1}(a_n+b_ny_nx_{n-k}))\), \(y_{n+1}=x_ny_{n-k}/(x_{n-k+1}(c_n+d_nx_ny_{n-k}))\)
- On the system of difference equations \(x_n=c_ny_{n-3}/(a_n+b_ny_{n-1}x_{n-2}y_{n-3})\),\(y_n=\gamma_nx_{n-3}/(\alpha_n+\beta_nx_{n-1}y_{n-2}x_{n-3})\)
- On a solvable system of difference equations of \(k\)th order
- On a system of difference equations of odd order solvable in closed form
- On a system of difference equations which can be solved in closed form
- On a \(k\)-order system of Lyness-type difference equations
- A global convergence result for a higher order difference equation
- Domains of undefinable solutions of some equations and systems of difference equations
- Global behaviour of a second-order nonlinear difference equation
- Asymptotic Behavior of the Solutions of the Difference Equationf(xn-1)
- Asymptotic 2–periodic difference equations with diagonally self–invertible responses
- On Impulsive Beverton-Holt Difference Equations and their Applications
- On a solvable system of rational difference equations
- Periodicity of some classes of holomorphic difference equations
- On a system of difference equations
- On the rational recursive sequence
- Dynamics of a rational difference equation
- Invariants and oscillation for systems of two nonlinear difference equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item