Advertisement

Some Elements about Ordinary Differential Equations

  • Eric Delabaere
Chapter
  • 802 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 2155)

Abstract

This chapter is merely devoted to recalling usual notation and elementary results on ordinary differential equations in the complex domain. We give the fundamental existence theorem for Cauchy problems (Sect. 1.1). We detail the main differences between solutions of linear versus nonlinear ODEs, when the question of their analytic continuation is considered (Sect. 1.2). Finally we provide a short introduction to Painlevé equations (Sect. 1.3).

Keywords

Ordinary Differential Equation Riemann Surface Meromorphic Function Algebraic Differential Equation Linear Ordinary Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Eric Delabaere
    • 1
  1. 1.Département de MathématiquesUniversité d’AngersAngersFrance

Personalised recommendations