Dynamics and behavior of a higher order rational recursive sequence

作者：Elsayed M^*; El Dessoky Mohammed M

来源：Advances in Difference Equations, 2012, 69.

DOI：10.1186/1687-1847-2012-69

• stability
• periodic solutions
• boundedness
• difference equations

In this article we study the global convergence result, boundedness, and periodicity of solutions of the difference equation %26lt;br%26gt;x(n+1) = ax(n-s) + bx(n-1) + cx(n-k)/dx(n-1) + ex(n-k) n = 0, 1, ..., %26lt;br%26gt;where the parameters a, b, c, d and e are positive real numbers and the initial conditions x (-t) , x (-t+1), . . . , x (-1) and x (0) are positive real numbers where t = max{s, l, k}. %26lt;br%26gt;Mathematics Subject Classification: 39A10.

• 出版日期2012