D. Guzzetti, “Uniqueness of asymptotic solutions for linear systems of ODEs with isolated singularities of general type”, Изв. РАН. Сер. матем., 2026, том 90, выпуск 1,страницы 90

Uniqueness of asymptotic solutions for linear systems of ODEs with isolated singularities of general type

D. Guzzetti^ab

^a INFN — National Institute of Nuclear Physics, Sezione di Trieste, Trieste, Italy
^b Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy

Аннотация: 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.

Ключевые слова: linear differential systems, non-meromorphic coefficients, uniqueness of asymptotic expansions, generalized Stokes sectors.

MSC: Primary 34M03, 34M30; Secondary 34M25, 34M35

Поступило в редакцию: 14.01.2025
Исправленный вариант: 26.01.2025

Язык публикации: английский

DOI: 10.4213/im9694