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Boundary Value Problems, 2020
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Abstract On the interval $[0,1]$ [0,1] we consider the nth order linear differential equation, the coefficient of the highest derivative of which is equivalent to the power function $t^{\mu }$ tμ when $t\rightarrow 0$ t→0 . The main aim of the paper is to pose “generalized” Cauchy conditions for the given equation at the point of singularity $t=0$ t=0 , which would be correct for any $\mu >0$ μ>0 .