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

Firstly, we studied the solution of the equation ⊗k◊Bku(x)=f(x) where u(x) is an unknown unknown function for x=(x1,x2,…,xn)∈ℝn, f(x) is the generalized function, k is a positive integer. Finally, we have studied the solution of the nonlinear equation ⊗k◊Bku(x)=f(x,□k−1LkΔBk□Bku(x)). It was found t...

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Bibliographic Details
Main Authors: Wanchak Satsanit, Amnuay Kananthai
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2010/482467