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 = (x1, x2, . . . , xn) ∈ ℝn + = {x ∈ ℝn | xi > 0}, a and b are nonzero constants. u(x) is unknown function and f(x) is a given distribution. (δB + a2)i is the Bessel-Helmholtz operator iterated i-times and ({combining square below}B + b2)j...
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th-cmuir.6653943832-71942014-08-30T03:51:41Z The compound equation related to the Bessel-Helmholtz equation and the Bessel-Klein-Gordon equation Bunpog C. In this paper we study the compound equation where x = (x1, x2, . . . , xn) ∈ ℝn + = {x ∈ ℝn | xi > 0}, a and b are nonzero constants. u(x) is unknown function and f(x) is a given distribution. (δB + a2)i is the Bessel-Helmholtz operator iterated i-times and ({combining square below}B + b2)j is the Bessel-Klein-Gordon operator iterated j-times. The existence and the uniqueness solution of (1) is proven. © 2013 Chalermpon Bunpog. 2014-08-30T03:51:41Z 2014-08-30T03:51:41Z 2013 Article 1312885X 10.12988/ams.2013.36342 http://www.scopus.com/inward/record.url?eid=2-s2.0-84886264601&partnerID=40&md5=6b32dd3a2f779c569d6493dfdcf8daf8 http://cmuir.cmu.ac.th/handle/6653943832/7194 English |
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In this paper we study the compound equation where x = (x1, x2, . . . , xn) ∈ ℝn + = {x ∈ ℝn | xi > 0}, a and b are nonzero constants. u(x) is unknown function and f(x) is a given distribution. (δB + a2)i is the Bessel-Helmholtz operator iterated i-times and ({combining square below}B + b2)j is the Bessel-Klein-Gordon operator iterated j-times. The existence and the uniqueness solution of (1) is proven. © 2013 Chalermpon Bunpog. |
| format |
Article |
| author |
Bunpog C. |
| spellingShingle |
Bunpog C. The compound equation related to the Bessel-Helmholtz equation and the Bessel-Klein-Gordon equation |
| author_facet |
Bunpog C. |
| author_sort |
Bunpog C. |
| 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 |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84886264601&partnerID=40&md5=6b32dd3a2f779c569d6493dfdcf8daf8 http://cmuir.cmu.ac.th/handle/6653943832/7194 |
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1681420754913067008 |