Using Special Rules for Transformation of the Finding Exact Solutions of the Singular Klein-Gordon Differential Equation

In this article we give a very brief outline of one way of carrying out the spectral analysis of a boundary value problem with specified singularities and investigating the corresponding inverse problem. We find out the solutions of equation satisfying the boundary condition 0 ) 0 ( ) 0 ( = − ′ y a y λ where q is a real valued function, λ is a spectral parameter and a is a natural number. As the mention above, these solutions of a singular boundary value problem were made of our premises which results came out solutions of a non singular boundary value problem ), , 0 [ , 0 )) ( ( 2 ∞ = ∈ = − + ′ ′ + R x y x q y λ 0 ) 0 ( ) 0 ( = − ′ y a y λ