Irreducible Stokes data set furnishing a counterexample to the generalized Riemann-Hilbert problem. (English. Russian original) Zbl 1219.34111
Math. Notes 82, No. 2, 267-271 (2007); translation from Mat. Zametki 82, No. 2, 305-309 (2007).
MSC:
34M50 | Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain |
30E25 | Boundary value problems in the complex plane |
Keywords:
Stokes data set; Riemann-Hilbert problem; system of linear differential equations; meromorphic function; monodromy; Riemann sphere; Poincaré rankReferences:
[1] | W. Wasow, Asymptotic Expansions for Ordinary Differential Equations (Dover Publications, New York, 1987; Mir, Moscow, 2006). · Zbl 0644.34003 |
[2] | A. A. Bolibruch, S. Malek, and C. Mitchi, ”On the generalized Riemann-Hilbert problem with irregular singularities,” Expo. Math. 24 (3), 235–272 (2006). · Zbl 1106.34061 · doi:10.1016/j.exmath.2005.11.003 |
[3] | A. A. Bolibruch, Fuchsian Differential Equations and Holomorphic Fiberings (MTsNMO, Moscow, 2000) [in Russian]. |
[4] | J. Moser, ”The order of singularity in Fuchs’ theory,” Math. Z. 72 (1), 379–398 (1960). · Zbl 0117.04902 · doi:10.1007/BF01162962 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.