TL;DR
This paper advances the differential Galois theory by computing the Galois group for specific non-resonant Fuchsian systems, providing new insights into their algebraic symmetries.
Contribution
It introduces a novel method for determining the differential Galois group of certain non-resonant Fuchsian systems.
Findings
Computed the differential Galois group for specific non-resonant Fuchsian systems.
Provided new theoretical results in the differential Galois theory of linear ODEs.
Enhanced understanding of the algebraic structure of Fuchsian systems.
Abstract
The aim of this paper is to give a new result of the differential Galois theory of linear ordinary differential equations. In particular, we compute differential Galois group for special type non-resonant Fuchsian system.
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