Mathematical Sciences Classification System

34Mxx - Differential equations in the complex domain
[See also 30Dxx, 32G34]

  • 2
    34M03
    Linear equations and systems
  • 1
    34M05
    Entire and meromorphic solutions
  • 34M10
    Oscillation, growth of solutions
  • 3
    34M15
    Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical)
  • 34M20
    Nonanalytic aspects
  • 34M25
    Formal solutions, transform techniques
  • 3
    34M30
    Asymptotics, summation methods
  • 3
    34M35
    Singularities, monodromy, local behavior of solutions, normal forms
  • 3
    34M40
    Stokes phenomena and connection problems (linear and nonlinear)
  • 1
    34M45
    Differential equations on complex manifolds
  • 3
    34M50
    Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.)
  • 9
    34M55
    Painlevé and other special equations; classification, hierarchies;
  • 2
    34M56
    Isomonodromic deformations
  • 34M60
    Singular perturbation problems in the complex domain (complex WKB, turning points, steepest descent) [See also 34E20]
  • 34M99
    None of the above, but in this section

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