Scalar IVP existence-uniqueness for x(t)?

borkborkmath

New member
Joined
Mar 4, 2011
Messages
16
Family of scalar IVPs: x' = |x|^a, x(0) = 0, where 'a' is a parameter.
The question asks "For which 'a' the basic theorem asserts the local existence-uniqueness of the solution x(t)?"

How and where do I start this question? I was given the hint to use Picard's theorem, but that was never covered in class and I'm a little lost on this question.
 
Top