Several Notes on Existence Theorem of Peano
Keywords:
Peano existence theorem,
Non-Lipschitz nonlinearity,
Non-uniqueness,
IVP,
ODE,
Cauchy problem
2012 Volume 55 Issue 1 Pages 89-97
Details
2012 Volume 55 Issue 1 Pages 89-97
An ODE in conditions of Peano's theorem has been considered. A family of solutions with Borel measurable dependence of the initial data has been obtained. Corresponding existence theorem for the transport equation has been proved.
