Title of article :
On The Product of The Ultra-Hyperbolic Bessel Operator Related to The Elastic Waves
Author/Authors :
Saglam, Aziz Afyon Kocatepe University - Faculty of Science and Arts - Department of Mathematics, Turkey , Yıldırım, Hüseyin Afyon Kocatepe University - Faculty of Science and Arts - Department of Mathematics, Turkey , Sarıkaya, Mehmet Zeki Afyon Kocatepe University - Faculty of Science and Arts - Department of Mathematics, Turkey
Abstract :
In this article, we have studied the compound Bessel ultra-hyperbolic equation of the form Sigma(m)(r=0) C-r square(r)(B)u(x) = f(x), where ETB is the Bessel ultra-hyperbolic type operator iterated r-times, f is a given generalized function, u is an unknown function, x is an element of R+ and C-r is a constant. In this work we study the weak solution u(x) of above the equation which is of the form Bessel Diamond operator and moreover, such a solution is unique.
Keywords :
Dirac , delta distribution , Bessel Operator , Ultra , Hyperbolic Bessel Operator , Tempered Distribution.
Journal title :
Selcuk Journal of Applied Mathematics
Journal title :
Selcuk Journal of Applied Mathematics
