ON EULER TYPE EQUATION

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Submitted: 2025-02-28; Published: 2025-02-28

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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.