Trace of the Monodromy Matrix of an Irregular Singular Point of a Linear System of First-Order Ordinary Differential Equations
Abstract
A formula for the trace of the monodromy matrix of a singular point of a linear system of first-order ordinary differential equations of pole type or of an algebraic branch point is obtained in the form of an absolutely convergent series. As an example, the general formula is specified for a system of equations of a special form.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Nonlinear Differential Equations Analysis
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Siberian Mathematical Journal
- Volume
- 67
- Issue
- 1
- Pages
- 28–39
- Publication date
- 1 January 2026
- Language
- EN