1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted