On the dimension of the subspace of Liouvillian solutions of a Fuchsian system

DOI10.1134/S0001434617070173zbMath1385.34064OpenAlexW2766866872MaRDI QIDQ1688324

Renat Gontsov

Publication date: 5 January 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617070173

zbMATH Keywords

Fuchsian systemLiouvillian solutionssolvability by quadratures

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Differential algebra (12H05) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (1)

Linear differential systems with small coefficients: various types of solvability and their verification

Cites Work

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• Counting real zeros of analytic functions satisfying linear ordinary differential equations
• Equations différentielles à points singuliers réguliers
• Additional parameters in inverse monodromy problems
• On the question of solubility of Fuchsian systems by quadratures
• Solvability of linear differential systems with small exponents in the Liouvillian sense

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