Abstract: In this article, we have studied compound equations
related to the ultra-hyperbolic operator of the form
where is the operator which related to the ultra-hyperbolic
type operator iterated r-times, fis a given generalized
function, uis an unknown function, and is a constant. In this work, we study the weak solution
of the
above equation and moreover, such a solution is unique.
Keywords and phrases: tempered distribution, ultra-hyperbolic type operator.
