کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473523 698795 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the solution of nn-dimensional and the Fourier Bessel transform of the operator ⊗Bk
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
On the solution of nn-dimensional and the Fourier Bessel transform of the operator ⊗Bk
چکیده انگلیسی

In this paper, we consider the solution of equation ⊗Bku(x)=∑r=0mcr⊗Brδ where ⊗Bk is the otimes operator iterated kk times and is defined by ⊗Bk=((∑i=1pBxi)3−(∑j=p+1p+qBxi)3)k, where p+q=n,Bxi=∂2∂xi2+2vixi∂∂xi, 2vi=2αi+1,αi>−12, i=1,2,3,…,ni=1,2,3,…,n and nn is the dimension of the Rn+, and k=0,1,2,3,…,crk=0,1,2,3,…,cr is a constant. It was found that the type of the solution of this equation, such as the ordinary functions, the tempered distributions and the singular distributions, depend on the relationship between the values of kk and mm. After that we study the Fourier Bessel transform of the elementary solution of the operator ⊗Bk and also the Fourier Bessel transform of their convolution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 61, Issue 10, May 2011, Pages 3105–3116
نویسندگان
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