The compound equation related to the Bessel-Helmholtz equation and the Bessel-Klein-Gordon equation
In this paper we study the compound equation where x = (x 1 , x 2 , . . . , x n ) ∈ ℝ n + = {x ∈ ℝ n | x i > 0}, a and b are nonzero constants. u(x) is unknown function and f(x) is a given distribution. (δB + a 2 ) i is the Bessel-Helmholtz operator iterated i-times and ({combining square b...
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th-cmuir.6653943832-475522018-04-25T08:41:16Z The compound equation related to the Bessel-Helmholtz equation and the Bessel-Klein-Gordon equation Chalermpon Bunpog In this paper we study the compound equation where x = (x 1 , x 2 , . . . , x n ) ∈ ℝ n + = {x ∈ ℝ n | x i > 0}, a and b are nonzero constants. u(x) is unknown function and f(x) is a given distribution. (δB + a 2 ) i is the Bessel-Helmholtz operator iterated i-times and ({combining square below}B + b 2 ) j is the Bessel-Klein-Gordon operator iterated j-times. The existence and the uniqueness solution of (1) is proven. © 2013 Chalermpon Bunpog. 2018-04-25T08:41:16Z 2018-04-25T08:41:16Z 2013-10-29 Journal 1312885X 2-s2.0-84886264601 10.12988/ams.2013.36342 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886264601&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47552 |
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In this paper we study the compound equation where x = (x 1 , x 2 , . . . , x n ) ∈ ℝ n + = {x ∈ ℝ n | x i > 0}, a and b are nonzero constants. u(x) is unknown function and f(x) is a given distribution. (δB + a 2 ) i is the Bessel-Helmholtz operator iterated i-times and ({combining square below}B + b 2 ) j is the Bessel-Klein-Gordon operator iterated j-times. The existence and the uniqueness solution of (1) is proven. © 2013 Chalermpon Bunpog. |
| format |
Journal |
| author |
Chalermpon Bunpog |
| spellingShingle |
Chalermpon Bunpog The compound equation related to the Bessel-Helmholtz equation and the Bessel-Klein-Gordon equation |
| author_facet |
Chalermpon Bunpog |
| author_sort |
Chalermpon Bunpog |
| title |
The compound equation related to the Bessel-Helmholtz equation and the Bessel-Klein-Gordon equation |
| title_short |
The compound equation related to the Bessel-Helmholtz equation and the Bessel-Klein-Gordon equation |
| title_full |
The compound equation related to the Bessel-Helmholtz equation and the Bessel-Klein-Gordon equation |
| title_fullStr |
The compound equation related to the Bessel-Helmholtz equation and the Bessel-Klein-Gordon equation |
| title_full_unstemmed |
The compound equation related to the Bessel-Helmholtz equation and the Bessel-Klein-Gordon equation |
| title_sort |
compound equation related to the bessel-helmholtz equation and the bessel-klein-gordon equation |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886264601&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47552 |
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