Solvability of an Integral Equation of Volterra-Wiener-Hopf Type
The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. We show that under some assumptions that equation has a continuous and bounded solution defined on the interval 0,∞ and having a finite limit at infinity. As a special case of the menti...
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/982079 |
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doaj-32ce74d96ed447628e284e0bba56e0742020-11-24T23:24:00ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/982079982079Solvability of an Integral Equation of Volterra-Wiener-Hopf TypeNurgali K. Ashirbayev0Józef Banaś1Agnieszka Dubiel2Department 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. Powstanców Warszawy 8, 35-359 Rzeszów, PolandDepartment of Mathematics, Rzeszów University of Technology, Al. Powstanców Warszawy 8, 35-359 Rzeszów, PolandThe paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. We show that under some assumptions that equation has a continuous and bounded solution defined on the interval 0,∞ and having a finite limit at infinity. As a special case of the mentioned integral equation we obtain an integral equation of Volterra-Wiener-Hopf type. That fact enables us to formulate convenient and handy conditions ensuring the solvability of the equation in question in the class of functions defined and continuous on the interval 0,∞ and having finite limits at infinity.http://dx.doi.org/10.1155/2014/982079 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nurgali K. Ashirbayev Józef Banaś Agnieszka Dubiel |
| spellingShingle |
Nurgali K. Ashirbayev Józef Banaś Agnieszka Dubiel Solvability of an Integral Equation of Volterra-Wiener-Hopf Type Abstract and Applied Analysis |
| author_facet |
Nurgali K. Ashirbayev Józef Banaś Agnieszka Dubiel |
| author_sort |
Nurgali K. Ashirbayev |
| title |
Solvability of an Integral Equation of Volterra-Wiener-Hopf Type |
| title_short |
Solvability of an Integral Equation of Volterra-Wiener-Hopf Type |
| title_full |
Solvability of an Integral Equation of Volterra-Wiener-Hopf Type |
| title_fullStr |
Solvability of an Integral Equation of Volterra-Wiener-Hopf Type |
| title_full_unstemmed |
Solvability of an Integral Equation of Volterra-Wiener-Hopf Type |
| title_sort |
solvability of an integral equation of volterra-wiener-hopf type |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. We show that under some assumptions that equation has a continuous and bounded solution defined on the interval 0,∞ and having a finite limit at infinity. As a special case of the mentioned integral equation we obtain an integral equation of Volterra-Wiener-Hopf type. That fact enables us to formulate convenient and handy conditions ensuring the solvability of the equation in question in the class of functions defined and continuous on the interval 0,∞ and having finite limits at infinity. |
| url |
http://dx.doi.org/10.1155/2014/982079 |
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AT nurgalikashirbayev solvabilityofanintegralequationofvolterrawienerhopftype AT jozefbanas solvabilityofanintegralequationofvolterrawienerhopftype AT agnieszkadubiel solvabilityofanintegralequationofvolterrawienerhopftype |
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