Existence of Almost Periodic Solutions to 𝑁th-Order Neutral Differential Equations with Piecewise Constant Arguments
We present some conditions for the existence and uniqueness of almost periodic solutions of 𝑁th-order neutral differential equations with piecewise constant arguments of the form (𝑥(𝑡)+𝑝𝑥(𝑡−1))(𝑁)=𝑞𝑥([𝑡])+𝑓(𝑡), here [⋅] is the greatest integer function, 𝑝 and 𝑞 are nonzero constants, 𝑁 is a positive...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/186361 |
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| _version_ | 1849410586586120192 |
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| author | Rong-Kun Zhuang |
| author_facet | Rong-Kun Zhuang |
| author_sort | Rong-Kun Zhuang |
| collection | DOAJ |
| description | We present some conditions for the existence and uniqueness of almost periodic solutions
of 𝑁th-order neutral differential equations with piecewise constant arguments of the form (𝑥(𝑡)+𝑝𝑥(𝑡−1))(𝑁)=𝑞𝑥([𝑡])+𝑓(𝑡), here [⋅] is the greatest integer function, 𝑝 and 𝑞 are nonzero constants, 𝑁 is a positive integer, and 𝑓(𝑡) is almost periodic. |
| format | Article |
| id | doaj-art-7b620eb976034d5191c5dc3e6e8d7a76 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7b620eb976034d5191c5dc3e6e8d7a762025-08-20T03:35:02ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/186361186361Existence of Almost Periodic Solutions to 𝑁th-Order Neutral Differential Equations with Piecewise Constant ArgumentsRong-Kun Zhuang0Department of Mathematics, Huizhou University, Huizhou 516007, ChinaWe present some conditions for the existence and uniqueness of almost periodic solutions of 𝑁th-order neutral differential equations with piecewise constant arguments of the form (𝑥(𝑡)+𝑝𝑥(𝑡−1))(𝑁)=𝑞𝑥([𝑡])+𝑓(𝑡), here [⋅] is the greatest integer function, 𝑝 and 𝑞 are nonzero constants, 𝑁 is a positive integer, and 𝑓(𝑡) is almost periodic.http://dx.doi.org/10.1155/2012/186361 |
| spellingShingle | Rong-Kun Zhuang Existence of Almost Periodic Solutions to 𝑁th-Order Neutral Differential Equations with Piecewise Constant Arguments Abstract and Applied Analysis |
| title | Existence of Almost Periodic Solutions to 𝑁th-Order Neutral Differential Equations with Piecewise Constant
Arguments |
| title_full | Existence of Almost Periodic Solutions to 𝑁th-Order Neutral Differential Equations with Piecewise Constant
Arguments |
| title_fullStr | Existence of Almost Periodic Solutions to 𝑁th-Order Neutral Differential Equations with Piecewise Constant
Arguments |
| title_full_unstemmed | Existence of Almost Periodic Solutions to 𝑁th-Order Neutral Differential Equations with Piecewise Constant
Arguments |
| title_short | Existence of Almost Periodic Solutions to 𝑁th-Order Neutral Differential Equations with Piecewise Constant
Arguments |
| title_sort | existence of almost periodic solutions to 𝑁th order neutral differential equations with piecewise constant arguments |
| url | http://dx.doi.org/10.1155/2012/186361 |
| work_keys_str_mv | AT rongkunzhuang existenceofalmostperiodicsolutionstonthorderneutraldifferentialequationswithpiecewiseconstantarguments |