The nonlinear product of the bessel diamond operator and the bessel klein-gordon operator related to the bessel biharmonic equation
In this article, we study the solution of the equation where {lozenge, open} k B (□ B +m 2 ) k is the product of the Bessel diamond operator and the Bessel Klein-Gordon operator, u is an unknown generalized function, f is a generalized function, m is a positive real number and k is a nonnegative in...
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th-cmuir.6653943832-432852017-09-28T06:53:36Z The nonlinear product of the bessel diamond operator and the bessel klein-gordon operator related to the bessel biharmonic equation Suntonsinsoungvon E. Kananthai A. In this article, we study the solution of the equation where {lozenge, open} k B (□ B +m 2 ) k is the product of the Bessel diamond operator and the Bessel Klein-Gordon operator, u is an unknown generalized function, f is a generalized function, m is a positive real number and k is a nonnegative integer. It found that the existence of the solution u(x) of such n equation depends on the condition of f and {increment} k B -1 {lozenge, open} k B (□ B +m 2 ) k u(x). Moreover such a solution u(x) related to the Bessel biharmonic equation depends on the conditions of p, q and k. 2017-09-28T06:53:36Z 2017-09-28T06:53:36Z 2010-06-16 Journal 13128876 2-s2.0-77953348796 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77953348796&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43285 |
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In this article, we study the solution of the equation where {lozenge, open} k B (□ B +m 2 ) k is the product of the Bessel diamond operator and the Bessel Klein-Gordon operator, u is an unknown generalized function, f is a generalized function, m is a positive real number and k is a nonnegative integer. It found that the existence of the solution u(x) of such n equation depends on the condition of f and {increment} k B -1 {lozenge, open} k B (□ B +m 2 ) k u(x). Moreover such a solution u(x) related to the Bessel biharmonic equation depends on the conditions of p, q and k. |
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Journal |
| author |
Suntonsinsoungvon E. Kananthai A. |
| spellingShingle |
Suntonsinsoungvon E. Kananthai A. The nonlinear product of the bessel diamond operator and the bessel klein-gordon operator related to the bessel biharmonic equation |
| author_facet |
Suntonsinsoungvon E. Kananthai A. |
| author_sort |
Suntonsinsoungvon E. |
| title |
The nonlinear product of the bessel diamond operator and the bessel klein-gordon operator related to the bessel biharmonic equation |
| title_short |
The nonlinear product of the bessel diamond operator and the bessel klein-gordon operator related to the bessel biharmonic equation |
| title_full |
The nonlinear product of the bessel diamond operator and the bessel klein-gordon operator related to the bessel biharmonic equation |
| title_fullStr |
The nonlinear product of the bessel diamond operator and the bessel klein-gordon operator related to the bessel biharmonic equation |
| title_full_unstemmed |
The nonlinear product of the bessel diamond operator and the bessel klein-gordon operator related to the bessel biharmonic equation |
| title_sort |
nonlinear product of the bessel diamond operator and the bessel klein-gordon operator related to the bessel biharmonic equation |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77953348796&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43285 |
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