Uniqueness of asymptotic solutions for linear systems of ODEs with isolated singularities of general type
Abstract
This article is a review of our paper [18] which, for a wide class of ODEs, provides sufficient conditions of existence and uniqueness of a fundamental system of solutions, with specified asymptotic behaviour, in wide sectors centered at an isolated singularity of the coefficients. These singularity can be general, not just of pole type.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Meromorphic and Entire Functions
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- Известия Российской академии наук Серия математическая
- Volume
- 90
- Issue
- 1
- Pages
- 90–111
- Publication date
- 1 January 2026
- Language
- RU