The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations
We study the solvability of some nonlinear functional integral equations in the Banach algebra of real functions defined, continuous, and bounded on the real half axis. We apply the technique of measures of noncompactness in order to obtain existence results for equations in question. Additionally,...
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Online Access: | http://dx.doi.org/10.1155/2013/537897 |
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doaj-898ed98d240b4ab78c1ff7f9986b36112020-11-25T00:32:51ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/537897537897The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral EquationsJózef Banaś0Szymon Dudek1Department of Mathematics, Rzeszów University of Technology, Powstańców Warszawy 8, 35-959 Rzeszów, PolandDepartment of Mathematics and Natural Sciences, State Higher School of Technology and Economics in Jarosław, Czarnieckiego 16, 37-500 Jarosław, PolandWe study the solvability of some nonlinear functional integral equations in the Banach algebra of real functions defined, continuous, and bounded on the real half axis. We apply the technique of measures of noncompactness in order to obtain existence results for equations in question. Additionally, that technique allows us to obtain some characterization of considered integral equations. An example illustrating the obtained results is also included.http://dx.doi.org/10.1155/2013/537897 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Józef Banaś Szymon Dudek |
spellingShingle |
Józef Banaś Szymon Dudek The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations Abstract and Applied Analysis |
author_facet |
Józef Banaś Szymon Dudek |
author_sort |
Józef Banaś |
title |
The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations |
title_short |
The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations |
title_full |
The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations |
title_fullStr |
The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations |
title_full_unstemmed |
The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations |
title_sort |
technique of measures of noncompactness in banach algebras and its applications to integral equations |
publisher |
Hindawi Limited |
series |
Abstract and Applied Analysis |
issn |
1085-3375 1687-0409 |
publishDate |
2013-01-01 |
description |
We study the solvability of some nonlinear functional integral equations in the Banach algebra of real functions defined, continuous, and bounded on the real half axis. We apply the technique of measures of noncompactness in order to obtain existence results for equations in question. Additionally, that technique allows us to obtain some characterization of considered integral equations. An example illustrating the obtained results is also included. |
url |
http://dx.doi.org/10.1155/2013/537897 |
work_keys_str_mv |
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