Dear all, how can I transfer the following general Sturm-Liouville equation into the following special Sturm-Liouville equation Thank you very much.
Last edited by Ackbeet; Jul 28th 2011 at 02:12 AM.
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There are some hints to the problem. It goes as follows. 1. Take , choose appropriate , we can get . 2. Then take for some function , we can see the result. However, I could not check the second hint.
I'll make one comment. If you do step 1. to eliminate z' then step 2. will put z' back into the ODE. I think what you what to do is steps 1. and 2. together. Also, I don't think you're going to get the same q(x).
Thank you very much for your help. And I've solved this problem in a very tedious way as you said. Good luck to you.
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