| Title:
|
On monotonic solutions of an integral equation of Abel type (English) |
| Author:
|
Darwish, Mohamed Abdalla |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
133 |
| Issue:
|
4 |
| Year:
|
2008 |
| Pages:
|
407-420 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in $C[0,1]$. The famous Chandrasekhar's integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof. (English) |
| Keyword:
|
quadratic integral equation |
| Keyword:
|
monotonic solutions |
| Keyword:
|
Abel |
| Keyword:
|
measure of noncompactness |
| Keyword:
|
Darbo's fixed point theorem |
| MSC:
|
45G05 |
| MSC:
|
45G10 |
| MSC:
|
45M99 |
| MSC:
|
47H09 |
| idZBL:
|
Zbl 1199.45014 |
| idMR:
|
MR2472488 |
| DOI:
|
10.21136/MB.2008.140629 |
| . |
| Date available:
|
2010-07-20T17:40:24Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140629 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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