EXISTENCE AND UNIQUENESS OF GREEN FUNCTION AND IT’S APPLICATION TO BOUNDARY VALUE PROBLEMS; CASE

Certain initial value problems (IVP) and boundary value problems (BVP) are better solved using the Green function in mathematical physics. A classic example is the Bessel operator of order n. We prove the existence and uniqueness of such a Green function, and utilise the results to solve the well-known Bessel operator of non-zero order ‘n' with the end conditions (0)=y(1)=0.

Please see the link :- https://www.ikprress.org/index.php/AJOMCOR/article/view/4236