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.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Advanced Mathematical Modeling in Engineering
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Mathematische Nachrichten
- Publication date
- 27 August 2026
- Language
- EN