On Solutions of a Nonlinear Erdélyi-Kober Integral Equation
We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type. Since the mentioned Erdélyi-Kober integral equation turns out to be a special cas...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/184626 |
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| author | Nurgali K. Ashirbayev Józef Banaś Raina Bekmoldayeva |
| author_facet | Nurgali K. Ashirbayev Józef Banaś Raina Bekmoldayeva |
| author_sort | Nurgali K. Ashirbayev |
| collection | DOAJ |
| description | We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type. Since the mentioned Erdélyi-Kober integral equation turns out to be a special case of that of Volterra-Stieltjes type, we can apply the obtained results to the Erdélyi-Kober integral equation. Examples illustrating the obtained results will be also included. |
| format | Article |
| id | doaj-art-e3546b0b916849bf93aac199e2bd5079 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e3546b0b916849bf93aac199e2bd50792025-02-03T06:14:06ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/184626184626On Solutions of a Nonlinear Erdélyi-Kober Integral EquationNurgali K. Ashirbayev0Józef Banaś1Raina Bekmoldayeva2Department of Mathematics, Science-Pedagogical Faculty, M. Auezov South Kazakhstan State University, Tauke Khan Avenue 5, Shymkent 160012, KazakhstanDepartment of Mathematics, Rzeszów University of Technology, Al. Powstańców Warszawy 8, 35-959 Rzeszów, PolandDepartment of Mathematics, Science-Pedagogical Faculty, M. Auezov South Kazakhstan State University, Tauke Khan Avenue 5, Shymkent 160012, KazakhstanWe conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type. Since the mentioned Erdélyi-Kober integral equation turns out to be a special case of that of Volterra-Stieltjes type, we can apply the obtained results to the Erdélyi-Kober integral equation. Examples illustrating the obtained results will be also included.http://dx.doi.org/10.1155/2014/184626 |
| spellingShingle | Nurgali K. Ashirbayev Józef Banaś Raina Bekmoldayeva On Solutions of a Nonlinear Erdélyi-Kober Integral Equation Abstract and Applied Analysis |
| title | On Solutions of a Nonlinear Erdélyi-Kober Integral Equation |
| title_full | On Solutions of a Nonlinear Erdélyi-Kober Integral Equation |
| title_fullStr | On Solutions of a Nonlinear Erdélyi-Kober Integral Equation |
| title_full_unstemmed | On Solutions of a Nonlinear Erdélyi-Kober Integral Equation |
| title_short | On Solutions of a Nonlinear Erdélyi-Kober Integral Equation |
| title_sort | on solutions of a nonlinear erdelyi kober integral equation |
| url | http://dx.doi.org/10.1155/2014/184626 |
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