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Analysis and partial differential equations
MSC2020 · 34Mxx
Ordinary differential equations in the complex domain
Ordinary differential equations in the complex domain [See also 30Dxx, 32G34]
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Subcategories
34M03Linear ordinary differential equations and systems in the complex domain034M04Nonlinear ordinary differential equations and systems in the complex domain034M05Entire and meromorphic solutions to ordinary differential equations in the complex domain034M10Oscillation, growth of solutions to ordinary differential equations in the complex domain034M15Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain034M25Formal solutions and transform techniques for ordinary differential equations in the complex domain034M30Asymptotics and summation methods for ordinary differential equations in the complex domain034M35Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms034M40Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain034M45Ordinary differential equations on complex manifolds034M46Spectral theory for ordinary differential operators in the complex domain034M50Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain034M55Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies034M56Isomonodromic deformations for ordinary differential equations in the complex domain034M60Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent)034M65Topological structure of trajectories of ordinary differential equations in the complex domain034M99Ordinary differential equations in the complex domain0
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