Nonlinear L k l operator related to the Bessel-Helmholtz operator and the Bessel Klein-Gordon operator
In this article, we study the solution of the nonlinear equation where L k l is defined by and (Δ B + a 2 ) k and (□ B + b 2 )...
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th-cmuir.6653943832-427942017-09-28T06:39:21Z Nonlinear L k l operator related to the Bessel-Helmholtz operator and the Bessel Klein-Gordon operator Bunpog C. In this article, we study the solution of the nonlinear equation where L k l is defined by and (Δ B + a 2 ) k and (□ B + b 2 ) l are defined by (2) and (3) respectively. u is an unknown generalized function and f is a given generalized function. It is found that the existence of the solution u(x) of such an equation depends on the condition of f and L k-1 l u(x). Moreover such a solution u(x) is related to the fundamental solution of Bessel-Helmholtz Operator and the Bessel Klein-Gordon Operator. 2017-09-28T06:39:21Z 2017-09-28T06:39:21Z 2012-08-22 Journal 13128876 2-s2.0-84865103624 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84865103624&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42794 |
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Thailand |
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In this article, we study the solution of the nonlinear equation where L k l is defined by and (Δ B + a 2 ) k and (□ B + b 2 ) l are defined by (2) and (3) respectively. u is an unknown generalized function and f is a given generalized function. It is found that the existence of the solution u(x) of such an equation depends on the condition of f and L k-1 l u(x). Moreover such a solution u(x) is related to the fundamental solution of Bessel-Helmholtz Operator and the Bessel Klein-Gordon Operator. |
| format |
Journal |
| author |
Bunpog C. |
| spellingShingle |
Bunpog C. Nonlinear L k l operator related to the Bessel-Helmholtz operator and the Bessel Klein-Gordon operator |
| author_facet |
Bunpog C. |
| author_sort |
Bunpog C. |
| title |
Nonlinear L k l operator related to the Bessel-Helmholtz operator and the Bessel Klein-Gordon operator |
| title_short |
Nonlinear L k l operator related to the Bessel-Helmholtz operator and the Bessel Klein-Gordon operator |
| title_full |
Nonlinear L k l operator related to the Bessel-Helmholtz operator and the Bessel Klein-Gordon operator |
| title_fullStr |
Nonlinear L k l operator related to the Bessel-Helmholtz operator and the Bessel Klein-Gordon operator |
| title_full_unstemmed |
Nonlinear L k l operator related to the Bessel-Helmholtz operator and the Bessel Klein-Gordon operator |
| title_sort |
nonlinear l k l operator related to the bessel-helmholtz operator and the bessel klein-gordon operator |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84865103624&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42794 |
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1681422257097801728 |