Math Help Forum - View Single Post - Existence and uniqueness of global solutions

bkarpuz · #3 June 4th, 2009, 01:21 PM

Quote:

Originally Posted by Moo

Hi

I know nothing of delay differential equation, but there is a theorem that ensures the existence and uniqueness of a solution : Picard?Lindelöf theorem - Wikipedia, the free encyclopedia

But it requires some conditions.

TY Lady Moo but I already have them read.
For delay equations if we have a minimal delay, i.e., $\alpha(t)$ is bounded away from $t$ by a positive constant, then the Global E&U follows very easily by the method of steps.
But the problem is when the delay is not minimal.