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.
DOI: 10.46991/PYSUA.2009.43.1.016 Physical and Mathematical Sciences, 43(1 (218) 16-19