Extremal Solutions to Periodic Boundary Value Problem of Nabla Integrodifferential Equation of Volterra Type on Time Scales
We firstly establish some new theorems on time scales, and then, by employing them together with a new comparison result and the monotone iterative technique, we show the existence of extremal solutions to the following nabla integrodifferential periodic boundary value problem: u∇(t)=f(t,u,∫0tg(t,s...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/205659 |
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| _version_ | 1850160161659813888 |
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| author | Yunlong Shi Junfang Zhao |
| author_facet | Yunlong Shi Junfang Zhao |
| author_sort | Yunlong Shi |
| collection | DOAJ |
| description | We firstly establish some new theorems on time scales, and then, by employing them together with a new comparison result and the monotone iterative technique, we show the existence of extremal solutions to the following nabla integrodifferential periodic boundary value problem: u∇(t)=f(t,u,∫0tg(t,s)∇s), t∈[0,a]T, u(0)=u(ρ(a)), where T is a time scale. |
| format | Article |
| id | doaj-art-b3caa9f6b47c4339a47605cd1b4cfa27 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b3caa9f6b47c4339a47605cd1b4cfa272025-08-20T02:23:14ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/205659205659Extremal Solutions to Periodic Boundary Value Problem of Nabla Integrodifferential Equation of Volterra Type on Time ScalesYunlong Shi0Junfang Zhao1Personnel Office, China University of Geosciences, Beijing 100083, ChinaSchool of Science, China University of Geosciences, Beijing 100083, ChinaWe firstly establish some new theorems on time scales, and then, by employing them together with a new comparison result and the monotone iterative technique, we show the existence of extremal solutions to the following nabla integrodifferential periodic boundary value problem: u∇(t)=f(t,u,∫0tg(t,s)∇s), t∈[0,a]T, u(0)=u(ρ(a)), where T is a time scale.http://dx.doi.org/10.1155/2014/205659 |
| spellingShingle | Yunlong Shi Junfang Zhao Extremal Solutions to Periodic Boundary Value Problem of Nabla Integrodifferential Equation of Volterra Type on Time Scales Discrete Dynamics in Nature and Society |
| title | Extremal Solutions to Periodic Boundary Value Problem of Nabla Integrodifferential Equation of Volterra Type on Time Scales |
| title_full | Extremal Solutions to Periodic Boundary Value Problem of Nabla Integrodifferential Equation of Volterra Type on Time Scales |
| title_fullStr | Extremal Solutions to Periodic Boundary Value Problem of Nabla Integrodifferential Equation of Volterra Type on Time Scales |
| title_full_unstemmed | Extremal Solutions to Periodic Boundary Value Problem of Nabla Integrodifferential Equation of Volterra Type on Time Scales |
| title_short | Extremal Solutions to Periodic Boundary Value Problem of Nabla Integrodifferential Equation of Volterra Type on Time Scales |
| title_sort | extremal solutions to periodic boundary value problem of nabla integrodifferential equation of volterra type on time scales |
| url | http://dx.doi.org/10.1155/2014/205659 |
| work_keys_str_mv | AT yunlongshi extremalsolutionstoperiodicboundaryvalueproblemofnablaintegrodifferentialequationofvolterratypeontimescales AT junfangzhao extremalsolutionstoperiodicboundaryvalueproblemofnablaintegrodifferentialequationofvolterratypeontimescales |