  In this paper, we consider a wave equation on a bounded domain with a
Sturm-Liouville operator with a singular intermediate coefficient and a
singular potential. To obtain and evaluate the solution, the method of
separation of variables is used, then the expansion in the Fourier series in
terms of the eigenfunctions of the Sturm-Liouville operator is used. The
Sturm-Liouville eigenfunctions are determined by such coefficients using the
modified Prufer transform. Existence, uniqueness and consistency theorems are
also proved for a very weak solution of the wave equation with singular
coefficients.
