On the interval [ 0 , 1 ] $[0,1]$ we consider the n th order linear differential equation, the coefficient of the highest derivative of which is equivalent to the… Click to show full abstract
On the interval [ 0 , 1 ] $[0,1]$ we consider the n th order linear differential equation, the coefficient of the highest derivative of which is equivalent to the power function t μ $t^{\mu }$ when t → 0 $t\rightarrow 0$ . 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 μ > 0 $\mu >0$ .
               
Click one of the above tabs to view related content.