On the solution n -dimensional of the product k operator and diamond bessel operator
Firstly, we studied the solution of the equation ⊗ k ◇ B k u (x) = f (x) where u (x) is an unknown unknown function for x = (x 1, x 2,⋯,x n ) 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- 1 L k Δ...
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th-cmuir.6653943832-433012017-09-28T06:53:56Z On the solution n -dimensional of the product k operator and diamond bessel operator Kananthai A. Satsanit W. Firstly, we studied the solution of the equation ⊗ k ◇ B k u (x) = f (x) where u (x) is an unknown unknown function for x = (x 1, x 2,⋯,x n ) 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- 1 L k Δ B k B k u (x)). It was found that the existence of the solution u (x) of such an equation depends on the condition of f and k-1 L k Δ B k B k u(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. 2017-09-28T06:53:56Z 2017-09-28T06:53:56Z 2010-05-26 Journal 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/6653943832/43301 |
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Firstly, we studied the solution of the equation ⊗ k ◇ B k u (x) = f (x) where u (x) is an unknown unknown function for x = (x 1, x 2,⋯,x n ) 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- 1 L k Δ B k B k u (x)). It was found that the existence of the solution u (x) of such an equation depends on the condition of f and k-1 L k Δ B k B k u(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. |
| format |
Journal |
| author |
Kananthai A. Satsanit W. |
| spellingShingle |
Kananthai A. Satsanit W. On the solution n -dimensional of the product k operator and diamond bessel operator |
| author_facet |
Kananthai A. Satsanit W. |
| author_sort |
Kananthai A. |
| 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 |
2017 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77952508350&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43301 |
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1681422352191062016 |