On The Solution n-Dimensional of the Composite ♢k Operator and ♢Bk Operator

Abstract EN

Firstly, we study the solution of the equation ♢k♢Bku(x)=f(x), where ♢k♢Bk is the composite of the diamond operator and Bessel diamond operator.

Finally, we study of the nonlinear equation ♢k♢Bku(x)=f(x,∆k-1□k♢Bk).

It was found that the existence of the solution u(x) of such an equation depends on the condition of f and ∆k-1□k♢Bku(x).

Moreover, such equation u(x) is related to the elastic wave equation.