Mathematical Sciences Classification System
34Mxx - Differential equations in the complex domain
[See also 30Dxx, 32G34]
-
34M03Linear equations and systems
-
34M05Entire and meromorphic solutions
-
34M10Oscillation, growth of solutions
-
34M15Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical)
-
34M20Nonanalytic aspects
-
34M25Formal solutions, transform techniques
-
34M30Asymptotics, summation methods
-
34M35Singularities, monodromy, local behavior of solutions, normal forms
-
34M40Stokes phenomena and connection problems (linear and nonlinear)
-
34M45Differential equations on complex manifolds
-
34M50Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.)
-
34M55Painlevé and other special equations; classification, hierarchies;
-
34M56Isomonodromic deformations
-
34M60Singular perturbation problems in the complex domain (complex WKB, turning points, steepest descent) [See also 34E20]
-
34M99None of the above, but in this section