Sergei Yakovenko's blog: on Math and Teaching

Tuesday, February 26, 2008

Lecture 1 (Feb 27, 2008)

Filed under: Analytic ODE course,lecture — Sergei Yakovenko @ 9:55
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Systems of Linear ODEs with complex time

  1. Total recall: on differential equations in the complex domain (for the newcomers, if any) and foliations.
  2. Linear systems: vector, matrix and Pfaffian form. Fyndamental solutions. Linearity of the transport maps.
  3. Holomorphic (gauge) equivalence of linear systems. Monodromy group.
  4. Linear systems with isolated singularities. Euler system and its properties.

Reading material: Section 15 from the Book (printing disabled)

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