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saltydog
saltydog is offline
#8
Jun13-05, 07:56 PM
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Quote Quote by bilgek33
Thanks again for your interest, saltydog.
You are right there is typo there, but the result is the same. Here is the corrected one: http://www.people.virginia.edu/~bk5w...files/ode2.pdf

One another thing is f is between [0,1], which means it can be zero as well (when you wrote, you didn't include zero).

In terms of your question regarding uniqueness, to be honest, I don't know.

Any idea what to do when f is not 1 ??
I don't know either about what happens to uniqueness and it's becomming a very interesting problem for me: If g(t,y,y') and its partials are continuous at a point then we can be assured of a unique solution about the point. However, the proof of such I am familiar with makes no comment about uniqueness if they are not continuous.

I don't know what to do if f is not 1. Working it numerically "close to zero" is unacceptable to you right?

Maybe/hopefully someone else here more knowledgeable than I will post a comment and we can both learn.