A Unified Approach to Some Classes of Nonlinear Integral Equations
We are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and nonlinear integral equations of Erdélyi-Kober ty...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/306231 |
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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 are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and nonlinear integral equations of Erdélyi-Kober type. Those integral equations play very significant role in applications to the description of numerous real world events. Our aim is to show that the mentioned integral equations can be treated from the view point of nonlinear Volterra-Stieltjes integral equations. The Riemann-Stieltjes integral appearing in those integral equations is generated by a function of two variables. The choice of a suitable generating function enables us to obtain various kinds of integral equations. Some results concerning nonlinear Volterra-Stieltjes integral equations in several variables will be also discussed. |
| format | Article |
| id | doaj-art-bbc7e235c4994fd498e66d8e03d3bcf4 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bbc7e235c4994fd498e66d8e03d3bcf42025-02-03T05:51:30ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/306231306231A Unified Approach to Some Classes of Nonlinear Integral EquationsNurgali 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 are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and nonlinear integral equations of Erdélyi-Kober type. Those integral equations play very significant role in applications to the description of numerous real world events. Our aim is to show that the mentioned integral equations can be treated from the view point of nonlinear Volterra-Stieltjes integral equations. The Riemann-Stieltjes integral appearing in those integral equations is generated by a function of two variables. The choice of a suitable generating function enables us to obtain various kinds of integral equations. Some results concerning nonlinear Volterra-Stieltjes integral equations in several variables will be also discussed.http://dx.doi.org/10.1155/2014/306231 |
| spellingShingle | Nurgali K. Ashirbayev Józef Banaś Raina Bekmoldayeva A Unified Approach to Some Classes of Nonlinear Integral Equations Journal of Function Spaces |
| title | A Unified Approach to Some Classes of Nonlinear Integral Equations |
| title_full | A Unified Approach to Some Classes of Nonlinear Integral Equations |
| title_fullStr | A Unified Approach to Some Classes of Nonlinear Integral Equations |
| title_full_unstemmed | A Unified Approach to Some Classes of Nonlinear Integral Equations |
| title_short | A Unified Approach to Some Classes of Nonlinear Integral Equations |
| title_sort | unified approach to some classes of nonlinear integral equations |
| url | http://dx.doi.org/10.1155/2014/306231 |
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