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 in 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.