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Delayed Differential Equation Research

  1. Nov 17, 2008 #1
    1. The problem statement, all variables and given/known data

    I am researching the delayed differential equation x'(t) = x(t/2) and haven't made much progress. Does anyone have suggestions?

    2. Relevant equations

    I have proved that for any initial condition, a solution exists, and it is unique, but the proofs are fairly long, so I won't post them here. Both of the proofs rely on the equation satisfying a locally Lipschitz condition.

    3. The attempt at a solution

    The only progress I have made on finding a solution is the easy case where x(0) = 0, in which case x = 0 satisfies the equation.
  2. jcsd
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