On scattering data for differential systems with a singularity (Q2150620)

In this paper, the author considers the differential equation \[ y'-(1/x)Ay-q(x)y=\rho By, \] where $x\in(0,\infty)$, $A,B,q$ are $n\times n$ matrices such that $A$ and $B$ are constant matrices and $q(x)$ is an integrable matrix-function and $\rho$ is a spectral parameter. The author constructs the conjugation matrix-function $\nu(x)$ and investigates its structural and analytical properties. Especially, the author shows that the limit of the conjugation matrix-function is independent from $q(x)$ as $\rho\to 0$.