کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9662340 698658 2005 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Approximations of singular integral equations on Lyapunov contours in Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Approximations of singular integral equations on Lyapunov contours in Banach spaces
چکیده انگلیسی
A general approximation method is investigated for the numerical evaluation of the singular integral equations on Lyapunov contours, defined in Banach spaces. The method consists in the application of the Faber polynomials and the Faber-Laurent expansion. First, some theorems are proved for the approximation of functions in a complex domain, while these are defined in the Banach space, Hγ(Γ), (0 < γ ≤ 1), where Γ denotes a closed Lyapunov contour. These results are further used in order to prove the existence and uniqueness of the solutions for the systems on which the singular integral equations are reduced.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 50, Issues 3–4, August 2005, Pages 567-573
نویسندگان
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