Z
zpconn
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Consider the initial-value problem y' = t * y^(1/3) and y(1) = -1. The function t * y^(1/3) is not Lipschitz in the y variable, so it does not satisfy the conditions of Picard's existence and uniqueness theorem. It does, however, satisfy the conditions of Peano's theorem, which does not guarantee uniqueness of the solution.
A result in ODEs says that there should be a maximum solution. Does anybody know how to find it?
A result in ODEs says that there should be a maximum solution. Does anybody know how to find it?