Question: find the green function for the differential operator L = ( d / dr ) ( r ^ 2 ) ( d / dr )

find the green function for the differential operator L =(d/dr)(r^2)(d/dr) on the interval a <= r < inf with homogeneous Dirichlet boundary conditions; i.e., solve for G(r, r') where (d/dr)(r^2)(dG(r,r')/dr)=- delta(r-r') on [a, inf) where G(a,r')= G(inf, r')=0. One method of solution involves indefinite integrals, Note that {f(x)-f(x')} delta(x-x')=0 so that (d/dx)({f(x)-f(x')} theta(x-x'))=(df(x)/dx)(theta)(x-x').

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