34Mxx Differential equations in the complex domain [See also 30Dxx, 32G34]
- 34M03 Linear equations and systems
- 34M04 Nonlinear ordinary differential equations and systems in the complex domain
- 34M05 Entire and meromorphic solutions
- 34M10 Oscillation, growth of solutions
- 34M15 Algebraic aspects (differential-algebraic, hypertranscendence, grouptheoretical)
- 34M25 Formal solutions, transform techniques
- 34M30 Asymptotics, summation methods
- 34M35 Singularities, monodromy, local behavior of solutions, normal forms
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34M40 Stokes phenomena and connection problems (linear and nonlinear)
(1)
- 34M45 Differential equations on complex manifolds
- 34M46 Spectral theory for ordinary differential operators in the complex domain
- 34M50 Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.)
- 34M55 Painlevé and other special equations; classification, hierarchies;
- 34M56 Isomonodromic deformations
- 34M60 Singular perturbation problems in the complex domain (complex WKB, turning points, steepest descent) [See also 34E20]
- 34M65 Topological structure of trajectories of ordinary differential equations in the complex domain
- 34M99 None of the above, but in this section
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