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

In this article, we have studied the compound ultra-hyperbolic Bessel equation of the form?_{r=0}^{m}C_{r}?_{B,c}^{r}u(x)=f(x),where ?_{B,c}^{r} is the ultra-hyperbolic Bessel operator iterated r-times, f is a given generalized function, u is an unknown function, x?R_{n}? and C_{r} is a constant. In this work, we study the weak solution u(x) of above the equation which is of the form ultra-hyperbolic Bessel operator and moreover, such a solution is unique.