# Math Help - Scalar IVP existence-uniqueness for x(t)?

1. ## Scalar IVP existence-uniqueness for x(t)?

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?

2. Originally Posted by Borkborkmath
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?
Do you know this theorem?

Picard

3. Nope and it wasn't covered in class. I'll read up on it though.