کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4626776 | 1631794 | 2015 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence of solutions of functional integral equations of convolution type using a new construction of a measure of noncompactness on Lp(R+)
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Existence of solutions of functional integral equations of convolution type using a new construction of a measure of noncompactness on Lp(R+) Existence of solutions of functional integral equations of convolution type using a new construction of a measure of noncompactness on Lp(R+)](/preview/png/4626776.png)
چکیده انگلیسی
Let Lp(R+) denote the space of Lebesgue integrable functions on R+ with the standard norm
â¥xâ¥p=(â«0â|x(t)|pdt)1p.First, we define a new measure of noncompactness on the spaces Lp(R+) (1 ⤠p < â). In addition, we study the existence of entire solutions for a class of nonlinear functional integral equations of convolution type using Darbo's fixed point theorem, which is associated with the new measure of noncompactness. We provide some examples to demonstrate that our results are applicable whereas the previous results are not.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 260, 1 June 2015, Pages 140-147
Journal: Applied Mathematics and Computation - Volume 260, 1 June 2015, Pages 140-147
نویسندگان
Hassan Khosravi, Reza Allahyari, Ali Shole Haghighi,