PM functions, their characteristic intervals and iterative roots
The concept of characteristic interval for piecewise monotone functions is introduced and used in the study of their iterative roots on a closed interval.
The concept of characteristic interval for piecewise monotone functions is introduced and used in the study of their iterative roots on a closed interval.
Using the fixed point theorems of Banach and Schauder we discuss the existence, uniqueness and stability of continuous solutions of a polynomial-like iterative equation with variable coefficients.
We discuss the Hyers-Ulam stability of the nonlinear iterative equation . By constructing uniformly convergent sequence of functions we prove that this equation has a unique solution near its approximate solution.
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