Boundary value problem of the operator ⊕<sup>k</sup>related to the biharmonic operator and the diamond operator
© 2018 by the authors. This paper presents an alternative methodology for finding the solution of the boundary value problem (BVP) for the linear partial differential operator. We are particularly interested in the linear operator ⊕k, where ⊕k=kk,kis the biharmonic operator iterated k-times andkis t...
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th-cmuir.6653943832-587992018-09-05T04:32:27Z Boundary value problem of the operator ⊕<sup>k</sup>related to the biharmonic operator and the diamond operator Chalermpon Bunpog Mathematics © 2018 by the authors. This paper presents an alternative methodology for finding the solution of the boundary value problem (BVP) for the linear partial differential operator. We are particularly interested in the linear operator ⊕k, where ⊕k=kk,kis the biharmonic operator iterated k-times andkis the diamond operator iterated k-times. The solution is built on the Green's identity of the operatorskand ⊕k, in which their derivations are also provided. To illustrate our findings, the example with prescribed boundary conditions is exhibited. 2018-09-05T04:32:27Z 2018-09-05T04:32:27Z 2018-07-05 Journal 22277390 2-s2.0-85050228505 10.3390/math6070115 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85050228505&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58799 |
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Mathematics Chalermpon Bunpog Boundary value problem of the operator ⊕<sup>k</sup>related to the biharmonic operator and the diamond operator |
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© 2018 by the authors. This paper presents an alternative methodology for finding the solution of the boundary value problem (BVP) for the linear partial differential operator. We are particularly interested in the linear operator ⊕k, where ⊕k=kk,kis the biharmonic operator iterated k-times andkis the diamond operator iterated k-times. The solution is built on the Green's identity of the operatorskand ⊕k, in which their derivations are also provided. To illustrate our findings, the example with prescribed boundary conditions is exhibited. |
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Journal |
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Chalermpon Bunpog |
| author_facet |
Chalermpon Bunpog |
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Chalermpon Bunpog |
| title |
Boundary value problem of the operator ⊕<sup>k</sup>related to the biharmonic operator and the diamond operator |
| title_short |
Boundary value problem of the operator ⊕<sup>k</sup>related to the biharmonic operator and the diamond operator |
| title_full |
Boundary value problem of the operator ⊕<sup>k</sup>related to the biharmonic operator and the diamond operator |
| title_fullStr |
Boundary value problem of the operator ⊕<sup>k</sup>related to the biharmonic operator and the diamond operator |
| title_full_unstemmed |
Boundary value problem of the operator ⊕<sup>k</sup>related to the biharmonic operator and the diamond operator |
| title_sort |
boundary value problem of the operator ⊕<sup>k</sup>related to the biharmonic operator and the diamond operator |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85050228505&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58799 |
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