کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4642482 | 1341345 | 2007 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical modelling of qualitative behaviour of solutions to convolution integral equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Numerical modelling of qualitative behaviour of solutions to convolution integral equations Numerical modelling of qualitative behaviour of solutions to convolution integral equations](/preview/png/4642482.png)
چکیده انگلیسی
We consider the qualitative behaviour of solutions to linear integral equations of the formequation(1)y(t)=g(t)+∫0tk(t-s)y(s)ds,where the kernel k is assumed to be either integrable or of exponential type. After a brief review of the well-known Paley–Wiener theory we give conditions that guarantee that exact and approximate solutions of (1) are of a specific exponential type. As an example, we provide an analysis of the qualitative behaviour of both exact and approximate solutions of a singular Volterra equation with infinitely many solutions. We show that the approximations of neighbouring solutions exhibit the correct qualitative behaviour.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 205, Issue 2, 15 August 2007, Pages 849–858
Journal: Journal of Computational and Applied Mathematics - Volume 205, Issue 2, 15 August 2007, Pages 849–858
نویسندگان
Neville J. Ford, Teresa Diogo, Judith M. Ford, Pedro Lima,