Compactness Conditions in the Study of Functional, Differential, and Integral Equations
We discuss some existence results for various types of functional, differential, and integral equations which can be obtained with the help of argumentations based on compactness conditions. We restrict ourselves to some classical compactness conditions appearing in fixed point theorems due to Schau...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/819315 |
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| _version_ | 1849306758697189376 |
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| author | Józef Banaś Kishin Sadarangani |
| author_facet | Józef Banaś Kishin Sadarangani |
| author_sort | Józef Banaś |
| collection | DOAJ |
| description | We discuss some existence results for various types of functional, differential, and integral equations which can be obtained with the help of argumentations based on compactness
conditions. We restrict ourselves to some classical compactness conditions appearing in fixed point theorems due to Schauder, Krasnosel’skii-Burton, and Schaefer. We present also the technique associated with measures of noncompactness and we illustrate its applicability in proving the solvability of some functional integral equations. Apart from this, we discuss the application of the mentioned technique to the theory of ordinary differential equations in Banach spaces. |
| format | Article |
| id | doaj-art-23bbf3c3dc964d7d88cb0d5a5b3ac0d2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-23bbf3c3dc964d7d88cb0d5a5b3ac0d22025-08-20T03:54:58ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/819315819315Compactness Conditions in the Study of Functional, Differential, and Integral EquationsJózef Banaś0Kishin Sadarangani1Department of Mathematics, Rzeszów University of Technology, Aleja Powstańców Warszawy 8, 35-959 Rzeszów, PolandDepartamento de Mathemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainWe discuss some existence results for various types of functional, differential, and integral equations which can be obtained with the help of argumentations based on compactness conditions. We restrict ourselves to some classical compactness conditions appearing in fixed point theorems due to Schauder, Krasnosel’skii-Burton, and Schaefer. We present also the technique associated with measures of noncompactness and we illustrate its applicability in proving the solvability of some functional integral equations. Apart from this, we discuss the application of the mentioned technique to the theory of ordinary differential equations in Banach spaces.http://dx.doi.org/10.1155/2013/819315 |
| spellingShingle | Józef Banaś Kishin Sadarangani Compactness Conditions in the Study of Functional, Differential, and Integral Equations Abstract and Applied Analysis |
| title | Compactness Conditions in the Study of Functional, Differential, and Integral Equations |
| title_full | Compactness Conditions in the Study of Functional, Differential, and Integral Equations |
| title_fullStr | Compactness Conditions in the Study of Functional, Differential, and Integral Equations |
| title_full_unstemmed | Compactness Conditions in the Study of Functional, Differential, and Integral Equations |
| title_short | Compactness Conditions in the Study of Functional, Differential, and Integral Equations |
| title_sort | compactness conditions in the study of functional differential and integral equations |
| url | http://dx.doi.org/10.1155/2013/819315 |
| work_keys_str_mv | AT jozefbanas compactnessconditionsinthestudyoffunctionaldifferentialandintegralequations AT kishinsadarangani compactnessconditionsinthestudyoffunctionaldifferentialandintegralequations |