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 kl is defined by and (Δ B + a 2) k and (□ B + b 2) l are de...
Saved in:
| Main Author: | |
|---|---|
| Format: | Journal |
| Published: |
2018
|
| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84865103624&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51790 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| id |
th-cmuir.6653943832-51790 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-517902018-09-04T06:09:09Z Nonlinear L k l operator related to the Bessel-Helmholtz operator and the Bessel Klein-Gordon operator Chalermpon Bunpog Mathematics In this article, we study the solution of the nonlinear equation where L kl 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-1lu(x). Moreover such a solution u(x) is related to the fundamental solution of Bessel-Helmholtz Operator and the Bessel Klein-Gordon Operator. 2018-09-04T06:09:09Z 2018-09-04T06:09:09Z 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/6653943832/51790 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| topic |
Mathematics |
| spellingShingle |
Mathematics Chalermpon Bunpog Nonlinear L k l operator related to the Bessel-Helmholtz operator and the Bessel Klein-Gordon operator |
| description |
In this article, we study the solution of the nonlinear equation where L kl 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-1lu(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 |
Chalermpon Bunpog |
| author_facet |
Chalermpon Bunpog |
| author_sort |
Chalermpon Bunpog |
| 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 |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84865103624&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51790 |
| _version_ |
1681423833468239872 |