کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4621779 1339488 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiplication of distributions in any dimension: Applications to δ-function and its derivatives
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Multiplication of distributions in any dimension: Applications to δ-function and its derivatives
چکیده انگلیسی

In two previous papers the author introduced a multiplication of distributions in one dimension and he proved that two one-dimensional Dirac delta functions and their derivatives can be multiplied, at least under certain conditions. Here, mainly motivated by some engineering applications in the analysis of the structures, we propose a different definition of multiplication of distributions which can be easily extended to any spatial dimension. In particular we prove that with this new definition delta functions and their derivatives can still be multiplied.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 337, Issue 2, 15 January 2008, Pages 1337-1344