The integral representation of solutions to a boundary value problem on the half-line for a system of linear ODEs with singularity of first kind

Yulia Horishna, Igor Parasyuk, Lyudmyla Protsak

We consider a problem of finding vanishing at infinity $C^1([0,\oo))$-solutions to non-homogeneous system of linear ODEs which has the pole of first order at $x=0$. The resonant ca…