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View Full Version : Sturm Liouville and Self Adjoint ODEs


Ed Quanta
Nov30-04, 04:05 PM
So how do I show that when we have a linear second-order differential equation expressed in self adjoint form that the Wronskian W(y1,y2)= C/p(x)

W=y1y2'-y1'y2, and C is a constant, and p is the coefficient where Ly=d^2/dx^2(pu) - d/dx(p1u) +p2u ?

I know Ly1=0 and Ly2= 0 if that helps at all.

ReyChiquito
Dec1-04, 12:43 AM
why dont you start by writting down the definition for self-adjointness?

then take (Ly,u) and integrate by parts.