Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their Applications
This paper investigates some generalized Gronwall-Bellman type impulsive integral inequalities containing integration on infinite intervals. Some new results are obtained, which generalize some existing conclusions. Our result is also applied to study a boundary value problem of differential equatio...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/353210 |
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| _version_ | 1832550041032589312 |
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| author | Yuzhen Mi |
| author_facet | Yuzhen Mi |
| author_sort | Yuzhen Mi |
| collection | DOAJ |
| description | This paper investigates some generalized Gronwall-Bellman type impulsive integral inequalities containing integration on
infinite intervals. Some new results are obtained, which generalize some existing conclusions. Our result is also applied to study a boundary
value problem of differential equations with impulsive terms. |
| format | Article |
| id | doaj-art-fa8ec6e16a58435aaadd156620f13d41 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-fa8ec6e16a58435aaadd156620f13d412025-02-03T06:08:04ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/353210353210Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their ApplicationsYuzhen Mi0Department of Mathematics, Zhanjiang Normal University, Zhanjiang, Guangdong 524048, ChinaThis paper investigates some generalized Gronwall-Bellman type impulsive integral inequalities containing integration on infinite intervals. Some new results are obtained, which generalize some existing conclusions. Our result is also applied to study a boundary value problem of differential equations with impulsive terms.http://dx.doi.org/10.1155/2014/353210 |
| spellingShingle | Yuzhen Mi Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their Applications Journal of Applied Mathematics |
| title | Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their Applications |
| title_full | Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their Applications |
| title_fullStr | Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their Applications |
| title_full_unstemmed | Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their Applications |
| title_short | Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their Applications |
| title_sort | some generalized gronwall bellman type impulsive integral inequalities and their applications |
| url | http://dx.doi.org/10.1155/2014/353210 |
| work_keys_str_mv | AT yuzhenmi somegeneralizedgronwallbellmantypeimpulsiveintegralinequalitiesandtheirapplications |