Peano existence theorem
In mathematics , specifically in the study of ordinary differential equations , the Peano existence theorem , Peano theorem or Cauchy–Peano theorem , named after Giuseppe Peano and Augustin-Louis Cauchy , is a fundamental theorem which guarantees the existence of solutions to certain initial value problems . 
<triplet> Peano existence theorem <subj> Giuseppe Peano <obj> named after <subj> Augustin-Louis Cauchy <obj> named after <triplet> initial value problem <subj> ordinary differential equation <obj> subclass of