The nonlinear product of the bessel diamond operator and the bessel klein-gordon operator related to the bessel biharmonic equation
In this article, we study the solution of the equation where {lozenge, open} k B (□ B +m 2 ) k is the product of the Bessel diamond operator and the Bessel Klein-Gordon operator, u is an unknown generalized function, f is a generalized function, m is a positive real number and k is a nonnegative in...
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| Main Authors: | , |
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| Format: | Journal |
| Published: |
2017
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| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77953348796&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43285 |
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| Institution: | Chiang Mai University |
| Summary: | In this article, we study the solution of the equation where {lozenge, open} k B (□ B +m 2 ) k is the product of the Bessel diamond operator and the Bessel Klein-Gordon operator, u is an unknown generalized function, f is a generalized function, m is a positive real number and k is a nonnegative integer. It found that the existence of the solution u(x) of such n equation depends on the condition of f and {increment} k B -1 {lozenge, open} k B (□ B +m 2 ) k u(x). Moreover such a solution u(x) related to the Bessel biharmonic equation depends on the conditions of p, q and k. |
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