Some Generalized Eigenfunction Expansions and Uniqueness Theorems

摘要

A generalized eigenfunction expansion method, Churchill's method, and a transform method are used to investigate the uniqueness of the solution of the equation ((the partial derivative with respect to y of p(y)) (the partial derivative with respect to y of phi(x,y)) + q(y)phi + (r(y) the second partial derivative of phi with respect to x) = 0), minus infinity