Questions tagged [sturm-liouville]

Verify that the periodic Sturm- Liouville system has a symmetric operator The ones that I know is that the Sturm-Liouville periodic system is: $L[y]=\lambda r(x)y=0$ $x_{1}< x< x_{2}$ $y(x_{1})=y(x_{2})$ ${y}'(x_{1})={y}'(x_{2})$ where…

I need to find the eigenvalues and eigenfunctions for the basic strum-liouville problem below with boundary conditions given: $$y''+\lambda y=0$$ $$y(0)=0, y(2)=0 $$ on[0,2]. I know this is a basic SL form and problem but I am still quite confuse…