![](/images/graphics-bg.png)
On the General Solution of the Ultrahyperbolic Bessel Operator
Joint Authors
Damkengpan, Rattapan
Nonlaopon, Kamsing
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-10
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We study the general solution of equation □B,cku(x)=f(x), where □B,ck is the ultrahyperbolic Bessel operator iterated k-times and is defined by □B,ck=[(1/c2)(Bx1+Bx2+⋯+Bxp)−(Bxp+1+⋯+Bxp+q)]k, p+q=n, n is the dimension of ℝn+={x:x=(x1,x2,…,xn), x1>0,…,xn>0}, Bxi=∂2/∂xi2+(2vi/xi)(∂/∂xi), 2vi=2βi+1, βi>−1/2, xi>0 (i=1,2,…,n), f(x) is a given generalized function, u(x) is an unknown generalized function, k is a nonnegative integer, c is a positive constant, and x∈Rn+.
American Psychological Association (APA)
Damkengpan, Rattapan& Nonlaopon, Kamsing. 2011. On the General Solution of the Ultrahyperbolic Bessel Operator. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-482343
Modern Language Association (MLA)
Damkengpan, Rattapan& Nonlaopon, Kamsing. On the General Solution of the Ultrahyperbolic Bessel Operator. Mathematical Problems in Engineering No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-482343
American Medical Association (AMA)
Damkengpan, Rattapan& Nonlaopon, Kamsing. On the General Solution of the Ultrahyperbolic Bessel Operator. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-482343
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482343