On the Product of the Non-linear of Diamond Operator and ⊗k Operator


In this paper, we study the solution of nonlinear equation ⊗♦c1u(x) = f (x, L♦c1u(x)) where ⊗♦c1 is the product of the Otimes operator and Diamond operator where c1 is positive constants, k is a positive integer, p + q = n, n is the dimension of the Euclidean space Rn, for x = (x1, x2, . . . , xn) ∈ Rn,u(x) is an unknown function and f (x, .L♦c1u(x)) is a… (More)