On involutions satisfying a system of functional equations
Abstract
In this paper we investigate a system of functional equations
N∘N = id
N∘fk = fp-1-k∘N k=0,...,p-1
in finite and infinite interval, where f0,...,fp-1 are given real functions. Under suitable assumptions on fi, we prove that the system has a unique solution and this solution is continuous and decreasing.
References
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Instytut Matematyki, Wyższa Szkoła Pedagogiczna w Rzeszowie Poland
Instytut Matematyki, Akademia Pedagogiczna im. Komisji Edukacji Narodowej w Krakowie Poland
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