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

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    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?
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  2. #2
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    Quote Originally Posted by Borkborkmath View Post
    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
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  3. #3
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    Nope and it wasn't covered in class. I'll read up on it though.
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