Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations
The existence of piecewise almost periodic solutions for impulsive neutral functional differential equations in Banach space is investigated. Our results are based on Krasnoselskii’s fixed-point theorem combined with an exponentially stable strongly continuous operator semigroup. An example is given...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/782018 |
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| _version_ | 1832562815919980544 |
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| author | Junwei Liu Chuanyi Zhang |
| author_facet | Junwei Liu Chuanyi Zhang |
| author_sort | Junwei Liu |
| collection | DOAJ |
| description | The existence of piecewise almost periodic solutions for impulsive neutral
functional differential equations in Banach space is investigated. Our results are based on Krasnoselskii’s
fixed-point theorem combined with an exponentially stable strongly continuous operator semigroup. An
example is given to illustrate the theory. |
| format | Article |
| id | doaj-art-6cc1829d16394b8ea58b7bb7286aed5e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6cc1829d16394b8ea58b7bb7286aed5e2025-02-03T01:21:47ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/782018782018Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential EquationsJunwei Liu0Chuanyi Zhang1College of Science, Yanshan University, Qinhuangdao 066004, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaThe existence of piecewise almost periodic solutions for impulsive neutral functional differential equations in Banach space is investigated. Our results are based on Krasnoselskii’s fixed-point theorem combined with an exponentially stable strongly continuous operator semigroup. An example is given to illustrate the theory.http://dx.doi.org/10.1155/2014/782018 |
| spellingShingle | Junwei Liu Chuanyi Zhang Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations Abstract and Applied Analysis |
| title | Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations |
| title_full | Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations |
| title_fullStr | Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations |
| title_full_unstemmed | Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations |
| title_short | Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations |
| title_sort | existence of almost periodic solutions for impulsive neutral functional differential equations |
| url | http://dx.doi.org/10.1155/2014/782018 |
| work_keys_str_mv | AT junweiliu existenceofalmostperiodicsolutionsforimpulsiveneutralfunctionaldifferentialequations AT chuanyizhang existenceofalmostperiodicsolutionsforimpulsiveneutralfunctionaldifferentialequations |