Mappings with a single critical point and applications to rational difference equations

作者：Huang Ying Sue; Knopf Peter M^*

来源：Journal of Difference Equations and Applications, 2014, 20(4): 641-663.

DOI：10.1080/10236198.2013.871543

• first-order map
• rational difference equations
• single critical point
• convergence

Convergence properties of first-order difference equations of the form are established for a general class of mappings f, where f has at most one critical point. Using these results, we find necessary and sufficient conditions for the convergence of the solutions for all difference equations of the formfor all possible choices of non-negative coefficients and positive initial values.

• 出版日期2014-4-3