On monotonic solutions of some integral equations
J. Caballero; Donal O'Regan; K. B. Sadarangani
Archivum Mathematicum (2005)
- Volume: 041, Issue: 3, page 325-338
- ISSN: 0044-8753
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topCaballero, J., O'Regan, Donal, and Sadarangani, K. B.. "On monotonic solutions of some integral equations." Archivum Mathematicum 041.3 (2005): 325-338. <http://eudml.org/doc/249488>.
@article{Caballero2005,
abstract = {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.},
author = {Caballero, J., O'Regan, Donal, Sadarangani, K. B.},
journal = {Archivum Mathematicum},
keywords = {measure of noncompactness; fixed point theorem; monotonic solutions; measure of noncompactness; fixed point theorem},
language = {eng},
number = {3},
pages = {325-338},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On monotonic solutions of some integral equations},
url = {http://eudml.org/doc/249488},
volume = {041},
year = {2005},
}
TY - JOUR
AU - Caballero, J.
AU - O'Regan, Donal
AU - Sadarangani, K. B.
TI - On monotonic solutions of some integral equations
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 3
SP - 325
EP - 338
AB - 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.
LA - eng
KW - measure of noncompactness; fixed point theorem; monotonic solutions; measure of noncompactness; fixed point theorem
UR - http://eudml.org/doc/249488
ER -
References
top- Argyros I. K., On a class of quadratic integral equations with perturbations, Funct. Approx. Comment. Math. 20 (1992), 51–63. (1992) MR1201716
- Banás J., Goebel K., Measures of noncompactness in Banach Spaces, Marcel Dekker, New York and Basel 1980. (1980) Zbl0441.47056MR0591679
- Banás J., Olszowy L., Measures of noncompactness related to monotonicity, Ann. Soc. Math. Pol., Commentat. Math. 41 (2001), 13–23. Zbl0999.47041MR1876707
- 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. Zbl0943.45002MR1735811
- Busbridge I. W., On the -function of Chandrasekhar, Quart. J. Math. Oxford Ser. (2) 8 (1957), 133–140. (1957) MR0100208
- Chandrasekhar S., The transfer of radiation in stellar atmospheres, Bull. Amer. Math. Soc. 53 (1947), 641–711. (1947) MR0022303
- Chandrasekhar S., Radiative Transfer, Oxford Univ. Press London, 1950. (1950) Zbl0037.43201MR0042603
- Crum M., On an integral equation of Chandrasekhar, Quart. J. Math. Oxford Ser. (2) 18 (1947), 244–252. (1947) Zbl0029.26901MR0023437
- Darbo G., Punti uniti in transformazioni a condominio non compatto, Rend. Sem. Mat. Univ. Padova 24 (1955), 84–92. (1955) MR0070164
- Dunford N., Schwartz J., Linear Operators I, Int. Publ. Leyden, 1963. (1963)
- Kelly C., Approximation of solutions of some quadratic integral equations in transport theory, J. Integral Equations 4 (1982), 221–237. (1982) MR0661170
- Kuratowski K., Sur les espaces completes, Fund. Math. 15 (1930), 301–309. (1930)
- Natanson I., Theory of functions of a real variable, Ungar, New York, 1960. (1960)
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