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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th-cmuir.6653943832-508152018-09-04T04:49:35Z On the solution n -dimensional of the product k operator and diamond bessel operator Amnuay Kananthai Wanchak Satsanit Engineering Mathematics 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. 2018-09-04T04:46:09Z 2018-09-04T04:46:09Z 2010-05-26 Journal 15635147 1024123X 2-s2.0-77952508350 10.1155/2010/482467 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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Engineering Mathematics |
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Engineering Mathematics Amnuay Kananthai Wanchak Satsanit On the solution n -dimensional of the product k operator and diamond bessel operator |
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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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Journal |
| author |
Amnuay Kananthai Wanchak Satsanit |
| author_facet |
Amnuay Kananthai Wanchak Satsanit |
| author_sort |
Amnuay Kananthai |
| title |
On the solution n -dimensional of the product k operator and diamond bessel operator |
| title_short |
On the solution n -dimensional of the product k operator and diamond bessel operator |
| title_full |
On the solution n -dimensional of the product k operator and diamond bessel operator |
| title_fullStr |
On the solution n -dimensional of the product k operator and diamond bessel operator |
| title_full_unstemmed |
On the solution n -dimensional of the product k operator and diamond bessel operator |
| title_sort |
on the solution n -dimensional of the product k operator and diamond bessel operator |
| publishDate |
2018 |
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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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