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Sturm Liouville and Self Adjoint ODEs

  1. Nov 30, 2004 #1
    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.
     
  2. jcsd
  3. Dec 1, 2004 #2
    why dont you start by writting down the definition for self-adjointness?

    then take [itex](Ly,u)[/itex] and integrate by parts.
     
    Last edited: Dec 1, 2004
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