On the product of the ultra-hyperbolic bessel operator related to the elastic waves

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dc.contributor.authorSağlam, Aziz
dc.contributor.authorYıldırım, Hüseyin
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.date.accessioned2018-04-26T10:17:56Z
dc.date.available2018-04-26T10:17:56Z
dc.date.issued2009
dc.descriptionURL: http://sjam.selcuk.edu.tr/sjam/article/view/222en_US
dc.description.abstractIn this article, we study the solution of the equation ?_{B,c?}^{k}?_{B,c?}^{k}u(x)=? where u(x) is an unknown generalized function and ? is a Dirac-delta function, ?_{B,c?}^{k} and ?_{B,c?}^{k} are the Ultra-Hyperbolic Bessel Operator iterated k-times and are defined by?_{B,c?}^{k} = [(1/(c?))(B_{x?}+B_{x?}++B_{x_{p}})-(B_{x_{p+1}}++B_{x_{p+q}})]^{k}?_{B,c?}^{k} = [(1/(c?))(B_{x?}+B_{x?}++B_{x_{p}})-(B_{x_{p+1}}++B_{x_{p+q}})]^{k}, where p+q=n, B_{x_{i}}=((?)/(?x_{i}))+((2v_{i})/(x_{i}))(?/(?x_{i})), where 2v_{i}=2?_{i}+1, ?_{i}>-(1/2)[6], x_{i}>0, i=1,2,...,n,c? and c? is positive constant, k is a nonnegative integer and n is the dimension of the R_{n}?. Firstly, it is found that the solution u(x) depends on the conditions of p and q and moreover such a solution is related to the solution of the Ultra-Hyperbolic Bessel Operator iterated k-times.en_US
dc.identifier.citationSağlam, A., Yıldırım, H., Sarıkaya, M. Z. (2009). On the product of the ultra-hyperbolic bessel operator related to the elastic waves. Selcuk Journal of Applied Mathematics, 10 (1), 85-93.en_US
dc.identifier.endpage93
dc.identifier.issn1302-7980en_US
dc.identifier.startpage85
dc.identifier.urihttps://hdl.handle.net/20.500.12395/10466
dc.identifier.volume10
dc.language.isoenen_US
dc.publisherSelcuk University Research Center of Applied Mathematicsen_US
dc.relation.ispartofSelcuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Kategori Belirleneceken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectDirac-delta distributionen_US
dc.subjectDirac-delta dağılımıen_US
dc.subjectBessel operatoren_US
dc.subjectBessel operatörüen_US
dc.subjectUltra-hyperbolic bessel operatoren_US
dc.subjectUltra hiperbolik bessel operatörüen_US
dc.subjectTempered distributionen_US
dc.subjectTemperli dağıtımen_US
dc.titleOn the product of the ultra-hyperbolic bessel operator related to the elastic wavesen_US
dc.typeArticleen_US

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