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?

Printable View

- March 5th 2011, 08:17 AMBorkborkmathScalar 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? - March 5th 2011, 08:53 AMTheEmptySet
Do you know this theorem?

Picard - March 5th 2011, 09:56 AMBorkborkmath
Nope and it wasn't covered in class. I'll read up on it though.