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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
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