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Almost Periodic Solutions of Nonautonomous Linear Difference Equations |
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| Authors: | Shunian Zhang Pingzhou Liu K Gopalsamy |
| Institution: | 1. Department of Applied Mathematics , Shanghai Jiaotong University , Shanghai , 200240 , China;2. Department of Mathematics and Computer Science , Shanxi Teachers University , Linfen , Shanxi , 041004 , China;3. Department of Mathematics and Statistics , Flinders University , GPO Box 2100, Adelaide , 5001 , Australia |
| Abstract: | Explicit almost periodic solutions are obtained for a class of almost periodic linear difference equations. The stability characteristics of the almost periodic solution are investigated. The results are applied to a nonautonomous hyperbolic difference equation modelling the dynamics of a single species population in temporally varying environments. |
| Keywords: | Almost Periodic Canonical Solution Asymptotic Stability |