On the Diamond Bessel Klein Gordon operator related to linear differential equation
Volume 12, Issue 8, pp 552--561
http://dx.doi.org/10.22436/jnsa.012.08.06
Publication Date: March 31, 2019
Submission Date: February 19, 2017
Revision Date: February 27, 2019
Accteptance Date: March 05, 2019
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Authors
Wanchak Satsanit
- Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai, 50290, Thailand.
Abstract
In this paper, first, we study the Green function of the Diamond Klein Gordon Bessel operator iterated \(k\) times.
We give a sense of Distribution theory considering the properties of the convolution of the Green function. Finally, we solve the following equation
\[
\left(\diamondsuit_{B}+d^{2}\right)^k u(x)=\sum^{m}_{r=0}c_{r}\left(\diamondsuit_{B}+d^{2}\right)^{k}\delta.\]
It was found that the type of above equation depend on the relationship between the value \(k\) and \(m\).
Share and Cite
ISRP Style
Wanchak Satsanit, On the Diamond Bessel Klein Gordon operator related to linear differential equation, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 8, 552--561
AMA Style
Satsanit Wanchak, On the Diamond Bessel Klein Gordon operator related to linear differential equation. J. Nonlinear Sci. Appl. (2019); 12(8):552--561
Chicago/Turabian Style
Satsanit, Wanchak. "On the Diamond Bessel Klein Gordon operator related to linear differential equation." Journal of Nonlinear Sciences and Applications, 12, no. 8 (2019): 552--561
Keywords
- Diamond Bessel operator
- Diamond Klein Gordon Bessel operator
- tempered distribution
MSC
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