Szymon Draga

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20142026

most citedA note on the polynomial-like iterative equations order

1 citations · 1 across the 4 of their papers we have counts for

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math.CA2016★ 1 cited

A note on the polynomial-like iterative equations order

Szymon Draga

We show that, under reasonable assumptions, two negative roots can be eliminated from the characteristic equation of a polynomial-like iterative equation. This result gives a new c…

math.CA2015

Reducing the polynomial-like iterative equations order and a generalized Zoltán Boros' problem

Szymon Draga, Janusz Morawiec

We present a technique for reducing the order of polynomial-like iterative equations; in particular, we answer a question asked by Wenmeng Zhang and Weinian Zhang. Our method invol…

math.CA2015

On a Zoltán Boros' problem connected with polynomial-like iterative equations

Szymon Draga, Janusz Morawiec

We determine all continuous solutions $g : I \to I$ of the polynomial-like iterative equation $g^{3} (x) = 3 g (x) - 2 x$ , where $I \subset R$ is an interval. In particular, we obta…