Dynamics of the difference equation \(x_{n+1}=\frac{x_n+p x_{n-k}}{x_n+q}\)
From MaRDI portal
Publication:950046
DOI10.1016/j.camwa.2007.06.029zbMath1145.39303OpenAlexW293367708MaRDI QIDQ950046
Javad Mashreghi, Mehdi Dehghan, M. Jaberi Douraki
Publication date: 22 October 2008
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2007.06.029
boundednessglobal asymptotic stabilitylocal asymptotic stabilityinvariant intervalsemicycle behavior
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (5)
Stability and periodic character of a third order difference equation ⋮ The periodicity and solutions of the rational difference equation with periodic coefficients ⋮ Dynamics of a rational difference equation ⋮ Stability of a rational difference equation ⋮ Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability and oscillation of neutral delay differential equations with piecewise constant argument
- A delayed-recruitment model of population dynamics, with an application to baleen whale populations
- Geometric stability conditions for higher order difference equations
- On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
- On a class of third order neutral delay differential equations with piecewise constant argument
- Global attractivity of the difference equation \(x_{n+1}=\alpha+(x_{n-k}/x_{n})\)
- Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
- Global behavior of the difference equation \(x_{n+1} = \frac {x_{n-l+1}}{1+a_0x_n+a_1x_{n-1}+\cdots + a_lx_{n-l}+x_{n-l+1}}\)
- The qualitative behavior of solutions of a nonlinear difference equation
- Dynamics of a rational difference equation using both theoretical and computational approaches
- Global attractivity in a class of non-autonomous, nonlinear, higher order difference equations
- On the recursive sequence
- Global stability in a nonlinear difference-delay equation model of flour beetle population growth
- On the population model of the non-autonomous logistic equation of second order with period-two parameters
- Dynamics of a rational difference equation
This page was built for publication: Dynamics of the difference equation \(x_{n+1}=\frac{x_n+p x_{n-k}}{x_n+q}\)
