chapter  21
Ordinary differential equations with bad right-hand sides
ByGilbert W. Bassett Jr., Roger Koenker
Pages 14

In this chapter we wish to consider some set-theoretical questions concerning the existence and uniqueness of solutions of ordinary differential equations. In particular, we deal here with those ordinary differential equations of first order, the right-hand sides of which are nonmeasurable in the Lebesgue sense, but for which we are able to establish the theorem on the existence and uniqueness of a solution with nice descriptive properties.