| Title:
|
On monotonic solutions of some integral equations (English) |
| Author:
|
Caballero, J. |
| Author:
|
O'Regan, D. |
| Author:
|
Sadarangani, K. B. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
41 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
325-338 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to obtain monotonic solutions of an integral equation of Urysohn-Stieltjes type in $C[0,1]$. Existence will be established with the aid of the measure of noncompactness. (English) |
| Keyword:
|
measure of noncompactness |
| Keyword:
|
fixed point theorem |
| Keyword:
|
monotonic solutions |
| MSC:
|
45G10 |
| MSC:
|
45M99 |
| MSC:
|
47H09 |
| MSC:
|
47H30 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1122.45008 |
| idMR:
|
MR2188387 |
| . |
| Date available:
|
2008-06-06T22:46:25Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107962 |
| . |
| Reference:
|
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| Reference:
|
[2] Banás J., Goebel K.: Measures of noncompactness in Banach Spaces.Marcel Dekker, New York and Basel 1980. Zbl 0441.47056, MR 0591679 |
| Reference:
|
[3] Banás J., Olszowy L.: Measures of noncompactness related to monotonicity.Ann. Soc. Math. Pol., Commentat. Math. 41 (2001), 13–23. Zbl 0999.47041, MR 1876707 |
| Reference:
|
[4] Banás J., Rodríguez J. R., Sadarangani K.: On a class of Urysohn-Stieltjes quadratic integral equations and their applications.J. Comput. Appl. Math. 113 (2000), 35–50. Zbl 0943.45002, MR 1735811 |
| Reference:
|
[5] Busbridge I. W.: On the $H$-function of Chandrasekhar.Quart. J. Math. Oxford Ser. (2) 8 (1957), 133–140. MR 0100208 |
| Reference:
|
[6] Chandrasekhar S.: The transfer of radiation in stellar atmospheres.Bull. Amer. Math. Soc. 53 (1947), 641–711. MR 0022303 |
| Reference:
|
[7] Chandrasekhar S.: Radiative Transfer.Oxford Univ. Press London, 1950. Zbl 0037.43201, MR 0042603 |
| Reference:
|
[8] Crum M.: On an integral equation of Chandrasekhar.Quart. J. Math. Oxford Ser. (2) 18 (1947), 244–252. Zbl 0029.26901, MR 0023437 |
| Reference:
|
[9] Darbo G.: Punti uniti in transformazioni a condominio non compatto.Rend. Sem. Mat. Univ. Padova 24 (1955), 84–92. MR 0070164 |
| Reference:
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[10] Dunford N., Schwartz J.: Linear Operators I.Int. Publ. Leyden, 1963. |
| Reference:
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[11] Kelly C.: Approximation of solutions of some quadratic integral equations in transport theory.J. Integral Equations 4 (1982), 221–237. MR 0661170 |
| Reference:
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| Reference:
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| . |
