On the Solution n-Dimensional of the Product ⊗k Operator and Diamond Bessel Operator

Firstly, we studied the solution of the equation ⊗♦Bu x f x where u x is an unknown unknown function for x x1, x2, . . . , xn ∈ R, f x is the generalized function, k is a positive integer. Finally, we have studied the solution of the nonlinear equation ⊗♦Bu x f x, LΔB kBu x . It was found that the existence of the solution u x of such an equation depends on the condition of f and LΔB kBu x . Moreover such solution u x is related to the inhomogeneous wave equation depending on the conditions of p, q, and k.