On the qualitative behaviour of solutions of a third order difference equation

Wang Zhizhen
Proceedings of the 3rd World Congress on Intelligent Control and Automation (Cat. No.00EX393)  
The exact solutions of most nonlinear difference equations cannot be obtained theoretically sometimes. Therefore, a massive number of researchers predict the long behaviour of most difference equations by investigating some qualitative behaviours of these equations from the governing equations. In this article, we aim to analyze the asymptotic stability, global stability, periodicity of the solution of an eighth-order difference equation. Moreover, a theoretical solution of a special case
more » ... special case equation will be presented in this paper.
doi:10.1109/wcica.2000.862571 fatcat:yfk3oc7as5ffbo3qll7iltszyq