Resumen de Existence of continuous solutions and stability for a general iterative functional equation

Jingmin Chen, Lin Li

• In this paper, C0 solutions for a general form of iterative functional equation are considered when the coefficient of the first order iterate can be zero, which is called the leading coefficient problem for polynomial-like iterative equations. Moreover, the stability of those C0 solutions is also discussed. Finally, as an application, we give an algorithm to compute the piecewise linear solutions of polynomial-like iterative equations.