Defintion of the symmetric/self-adjoint operator of S-L system
For the S-L system \(\frac{\mathrm{d}}{\mathrm{d} x}\left[p(x) \frac{\mathrm{d} y}{\mathrm{~d} x}\right]+q(x) y=-\lambda w(x) y\), we can define a symmetric/self-adjoint operator of S-L system: \(\mathscr{L}=\frac{-1}{r}\left[\frac{\mathrm{d}}{\mathrm{d} x}\left(p(x) \frac{\mathrm{d}}{\mathrm{~d} x}\right)+q(x)\right]\) and transform the original equation to \(\mathscr{L}y=\lambda y\)
If you want to change selection, open original toplevel document below and click on "Move attachment"
Summary
| status | not read | | reprioritisations | |
|---|
| last reprioritisation on | | | suggested re-reading day | |
|---|
| started reading on | | | finished reading on | |
|---|
Details