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 |
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