Abstract
The upper and lower bounds for the sum of all exponents of a system of linear differential equations with regular singular points given on the Riemann sphere are presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. A. Bolibruch, “21st Hilbert problem for linear Fuchsian systems,” Tr. Mat. Inst. Steklova, 206 (1994).
A. A. Bolibruch, Fuchsian Differential Equations and Bundles [in Russian], Moscow (2000).
A. A. Bolibruch, “Multiplicity of zeros of components of solutions of a system with regular singular points,” Tr. Mat. Inst. Steklova, 236, 61–65 (2002).
E. Corel, “Inégalités de Fuchs pour les systèmes differéntiels ré guliers,” C. R. Acad. Sci. Paris, Sér. I, 328, 983–986 (1999).
E. Corel, “Relations de Fuchs pour les systèmes différentiels réguliers,” Bull. S. M. F., 129, 189–210 (2001).
L. Fuchs, “Zur Theorie der linearen Differentialgleichungen mit veränderlichen Coefficienten,” J. Math., 66, 121–160 (1866).
P. Hartman, Ordinary Differential Equations [Russian translation], Mir, Moscow (1970).
A. H. M. Levelt, “Hypergeometric functions, II,” Proc. Konikl. Nederl. Akad. Wetensch. Ser. A, 64, 373–385 (1961).
Additional information
__________
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 36, Suzdal Conference-2004, Part 2, 2005.
Rights and permissions
About this article
Cite this article
Gontsov, R.R. Fuchs inequalities for systems of linear differential equations with regular singular points. J Math Sci 145, 5165–5172 (2007). https://doi.org/10.1007/s10958-007-0339-3
Issue Date:
DOI: https://doi.org/10.1007/s10958-007-0339-3