Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations
We define the concept of discrete weighted pseudo-S-asymptotically periodic function and prove some basic results including composition theorem. We investigate the existence, and uniqueness of discrete weighted pseudo-S-asymptotically periodic solution to nonautonomous semilinear difference equation...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/949487 |
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| _version_ | 1832567214278967296 |
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| author | Zhinan Xia |
| author_facet | Zhinan Xia |
| author_sort | Zhinan Xia |
| collection | DOAJ |
| description | We define the concept of discrete weighted pseudo-S-asymptotically periodic function and prove some basic results including composition theorem. We investigate the existence, and uniqueness of discrete weighted pseudo-S-asymptotically periodic solution to nonautonomous semilinear difference equations. Furthermore, an application to scalar second order difference equations is given. The working tools are based on the exponential dichotomy theory and fixed point theorem. |
| format | Article |
| id | doaj-art-0f7ce72194564ae3832fe7506fff25f0 |
| institution | Kabale University |
| 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-0f7ce72194564ae3832fe7506fff25f02025-02-03T01:02:00ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/949487949487Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference EquationsZhinan Xia0Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang 310023, ChinaWe define the concept of discrete weighted pseudo-S-asymptotically periodic function and prove some basic results including composition theorem. We investigate the existence, and uniqueness of discrete weighted pseudo-S-asymptotically periodic solution to nonautonomous semilinear difference equations. Furthermore, an application to scalar second order difference equations is given. The working tools are based on the exponential dichotomy theory and fixed point theorem.http://dx.doi.org/10.1155/2014/949487 |
| spellingShingle | Zhinan Xia Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations Discrete Dynamics in Nature and Society |
| title | Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations |
| title_full | Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations |
| title_fullStr | Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations |
| title_full_unstemmed | Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations |
| title_short | Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations |
| title_sort | discrete weighted pseudo asymptotic periodicity of second order difference equations |
| url | http://dx.doi.org/10.1155/2014/949487 |
| work_keys_str_mv | AT zhinanxia discreteweightedpseudoasymptoticperiodicityofsecondorderdifferenceequations |