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ON EULER TYPE EQUATION

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

In the present paper an Euler type equation is considered and it is proved that for α∈[0,1](α∈(2n−1,2n]) the characteristic polynomial has 2n real roots. For other values of α the issue concerning the number of the real roots of this polynomial is investigated.

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