Peano’s theorem


dydx = f(x,y) (1)

is an ordinary differential equationMathworldPlanetmath where f(x,y) is continuousMathworldPlanetmath on a planar domain E, then (1) has at least one integral curve for each (x0,y0) of E.[KF, T]


  • KF Kolmogorov, A.N. & Fomin, S.V., Introductory Real Analysis, Translated & Edited by Richard A. Silverman, Dover Publications, Inc. New York, 1970.
  • T Teschl, Gerald, gerald/ftp/book-ode/index.html gerald/ftp/book-ode/index.html, 2004.
Title Peano’s theorem
Canonical name PeanosTheorem
Date of creation 2013-03-22 15:20:21
Last modified on 2013-03-22 15:20:21
Owner Daume (40)
Last modified by Daume (40)
Numerical id 6
Author Daume (40)
Entry type Theorem
Classification msc 34A12