کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629167 1340574 2013 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nondecreasing solutions of a quadratic Abel equation with supremum in the kernel
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Nondecreasing solutions of a quadratic Abel equation with supremum in the kernel
چکیده انگلیسی
We prove an existence theorem for a quadratic Abel integral equation of the second kind with supremum in the kernel. The quadratic integral equation studied below contains as a special case numerous integral equations encountered in the theory of radiative transfer and in the kinetic theory of gases. We show that the singular quadratic integral equations with supremum has a monotonic solution in C[0,1]. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 14, 15 March 2013, Pages 7830-7836
نویسندگان
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