کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1708831 | 1012834 | 2012 | 4 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Kernel perturbations for a class of second-kind convolution Volterra equations with non-negative kernels
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Within the class of second-kind Volterra equations, an important subclass is the second-kind convolution equations with non-negative kernels k, with âkâ1<1, and positive forcing terms. Sharper results about the effect of kernel perturbations are obtained if attention is focussed on this subclass. In the standard perturbation and stability analysis for second-kind Volterra integral equations, it is the effect on the solution of perturbations in the forcing term and the stability of numerical methods for their solution that are examined. In applications, where only approximations for the kernel are available, such as arise in rheology, risk analysis, and renewal theory, the effect on the solution of perturbations in the kernel is equally important. In this paper, estimates are derived for this situation. The resolvent kernel framework is used to establish conditions such that, with respect to relative error perturbations in the kernel, the corresponding relative error perturbations in the solution are bounded. Defect renewal equations form a subset of the convolution Volterra integral equations examined.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 25, Issue 9, September 2012, Pages 1222-1225
Journal: Applied Mathematics Letters - Volume 25, Issue 9, September 2012, Pages 1222-1225
نویسندگان
F.R. de Hoog, R.S. Anderssen,