Natural Sciences, Mathematics, 2026
ON EULER TYPE EQUATION
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Submitted: 2025-02-28
© 2026 by author(s) and The Gufo Inc.
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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.