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?

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- Mar 5th 2011, 09:17 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? - Mar 5th 2011, 09:53 AMTheEmptySet
Do you know this theorem?

Picard - Mar 5th 2011, 10:56 AMBorkborkmath
Nope and it wasn't covered in class. I'll read up on it though.