Asymptotic Behavior of Certain Integrodifferential Equations
This paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form: atx′t′=e(t)+∫ct(t-s)α-1k(t,s)f(s,x(s))ds, c>1, 0<α<1. From the obtained results, we derive a technique which can be applied to some related integrodifferenti...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/4231050 |
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| _version_ | 1850174494290739200 |
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| author | Said Grace Elvan Akin |
| author_facet | Said Grace Elvan Akin |
| author_sort | Said Grace |
| collection | DOAJ |
| description | This paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form: atx′t′=e(t)+∫ct(t-s)α-1k(t,s)f(s,x(s))ds, c>1, 0<α<1. From the obtained results, we derive a technique which can be applied to some related integrodifferential as well as integral equations. |
| format | Article |
| id | doaj-art-d5ddbdf6487d4151be7bf0186dbe8b7a |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d5ddbdf6487d4151be7bf0186dbe8b7a2025-08-20T02:19:38ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/42310504231050Asymptotic Behavior of Certain Integrodifferential EquationsSaid Grace0Elvan Akin1Department of Engineering Mathematics, Cairo University, Orman, Giza 12221, EgyptMissouri University of Science Technology, 310 Rolla Building, Rolla, MO 65409-0020, USAThis paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form: atx′t′=e(t)+∫ct(t-s)α-1k(t,s)f(s,x(s))ds, c>1, 0<α<1. From the obtained results, we derive a technique which can be applied to some related integrodifferential as well as integral equations.http://dx.doi.org/10.1155/2016/4231050 |
| spellingShingle | Said Grace Elvan Akin Asymptotic Behavior of Certain Integrodifferential Equations Discrete Dynamics in Nature and Society |
| title | Asymptotic Behavior of Certain Integrodifferential Equations |
| title_full | Asymptotic Behavior of Certain Integrodifferential Equations |
| title_fullStr | Asymptotic Behavior of Certain Integrodifferential Equations |
| title_full_unstemmed | Asymptotic Behavior of Certain Integrodifferential Equations |
| title_short | Asymptotic Behavior of Certain Integrodifferential Equations |
| title_sort | asymptotic behavior of certain integrodifferential equations |
| url | http://dx.doi.org/10.1155/2016/4231050 |
| work_keys_str_mv | AT saidgrace asymptoticbehaviorofcertainintegrodifferentialequations AT elvanakin asymptoticbehaviorofcertainintegrodifferentialequations |