Version 1
: Received: 31 December 2019 / Approved: 31 December 2019 / Online: 31 December 2019 (17:13:44 CET)
How to cite:
Leo Amalraj, J.; Manuel, M. S.; Kılıçman, A.; Dilip, D. S. Stability and Boundedness Properties of a Rational Exponential Difference Equation. Preprints2019, 2019120420. https://doi.org/10.20944/preprints201912.0420.v1
Leo Amalraj, J.; Manuel, M. S.; Kılıçman, A.; Dilip, D. S. Stability and Boundedness Properties of a Rational Exponential Difference Equation. Preprints 2019, 2019120420. https://doi.org/10.20944/preprints201912.0420.v1
Leo Amalraj, J.; Manuel, M. S.; Kılıçman, A.; Dilip, D. S. Stability and Boundedness Properties of a Rational Exponential Difference Equation. Preprints2019, 2019120420. https://doi.org/10.20944/preprints201912.0420.v1
APA Style
Leo Amalraj, J., Manuel, M. S., Kılıçman, A., & Dilip, D. S. (2019). Stability and Boundedness Properties of a Rational Exponential Difference Equation. Preprints. https://doi.org/10.20944/preprints201912.0420.v1
Chicago/Turabian Style
Leo Amalraj, J., Adem Kılıçman and D. S. Dilip. 2019 "Stability and Boundedness Properties of a Rational Exponential Difference Equation" Preprints. https://doi.org/10.20944/preprints201912.0420.v1
Abstract
This article aims to discuss, the stability and boundedness character of the solutions of the rational equation of the form \begin{equation}\label{eql21.1} y_{t+1}=\frac{\nu\epsilon^{-y_t}+\delta\epsilon^{-y_{t-1}}}{\mu+\nu y_t+\delta y_{t-1}},\quad t\in N(0). \end{equation} Here, $\epsilon>1, \nu,\delta,\mu\in (0,\infty)$ and $y_0, y_1$ are taken as arbitrary non-negative reals and $N(a)=\{a,a+1,a+2,\cdots \}$. Relevant examples are provided to validate our results. The exactness is tested using MATLAB.
Keywords
boundedness; equilibrium; global asymptotic stability; Rational Equation
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
