## On solutions of a functional equation of order r in a special class of functions.(English)Zbl 0538.39002

The author considers the problem of existence and uniqueness of the solution $$\phi$$ of the functional equation $\phi(t)=h(t,\phi(\beta_ 1(t)),...,\phi(\beta_ r(t)))$ such that $$| \phi(t)-\phi(\xi)| \leq \mu | t-\xi |^ p$$, $$p>0$$, where $$\xi$$ is a common fixed point of $$\beta_ i$$.
Reviewer: J.Matkowski

### MSC:

 39B99 Functional equations and inequalities

### Keywords:

functional equation of order r; existence; uniqueness