On The Product of The Bessel Diamond and The Nonlinear Bessel Diamond Operator Related to The Bessel Elastic Wave Equation

In this article, we study the solution of the equation where is the product of the Bessel diamond operator iterated times and is defined by where c1 and c2 are positive constants, k is a non-negative integer, p+q = n where, [9], [14] and is the dimension of the , is an unknown and is a given function. It is found that, the existence of the solution of such equation depending on the condition of and Moreover such solution related to the Bessel elastic wave equation depending on the conditions of p, q and k.