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Problems with uniqueness of IVP

  1. Jun 25, 2014 #1
    Are these statements correct, if not could you give me an example

    1. If solution of IVP is non-unique then there are infinitely many solutions
    in short, if the solution to the IVP has at least 2 solutions then there are infinitely many solutions to this IVP

    2.there are none IVP first order ODE's with finite solutions

    for example there are no such IVP's that have only 2 or 3 solutions it must be either one or infinite

    3. there is no first order linear ODE's that have more than 1 solution for each different initial conditions if the solution exists
  2. jcsd
  3. Jun 27, 2014 #2
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