On the weak solutions of the compound Bessel ultra-hyperbolic equation

In this article, we have studied the compound Bessel ultra-hyperbolic equation of the form ∑ r = 0 m C r □ B r u ( x ) = f ( x ) , where □ B r is the Bessel ultra-hyperbolic type operator iterated r-times, f is a given generalized function, u is an unknown function, x ∈ R n + and Cr is a constant. In this work we study the weak solution u(x) of above the equation which is of the form Bessel Diamond operator and moreover, such a solution is unique.