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Far East Journal of Applied Mathematics

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, f is a given generalized function, u is 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.

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P-ISSN: 0972-0960

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