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 = (x 1, x 2,⋯,xn) n, f (x) is the generalized function, k is a positive integer. Finally, we have studied the solution of the nonlinear equation ⊗k B ◇u(x) = f(x,k- 1LkΔBkBku (x)). It...
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| Main Authors: | , |
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77952508350&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50815 |
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| Institution: | Chiang Mai University |
| Summary: | Firstly, we studied the solution of the equation ⊗k◇Bku (x) = f (x) where u (x) is an unknown unknown function for x = (x 1, x 2,⋯,xn) n, f (x) is the generalized function, k is a positive integer. Finally, we have studied the solution of the nonlinear equation ⊗k B ◇u(x) = f(x,k- 1LkΔBkBku (x)). It was found that the existence of the solution u (x) of such an equation depends on the condition of f andk-1LkΔBkBku(x). Moreover such solution u (x) is related to the inhomogeneous wave equation depending on the conditions of p, q, and k. Copyright © 2010 W. Satsanit and A. Kananthai. |
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