Asymptotic Behavior of Solutions to the Dirac System With Respect to a Spectral Parameter

Abstract

ABSTRACT We consider a Dirac system on with , , and study the asymptotic behavior of its fundamental solutions as the spectral parameter tends to infinity in the half‐plane , where . We obtain detailed asymptotic formulas and, as an application, derive new half‐plane asymptotics for fundamental systems of solutions to Sturm–Liouville equations with singular potentials.