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.