Asymptotic Behavior of a Class of Nonlinear Delay Difference Equations |
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| Authors: | Ravi P Agarwal Wan-Tong Li PYH Pang |
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| Institution: | 1. Department of Mathematics , National University of Singapore , 2 Science Drive 2, Singapore , 117543 , Singapore;2. Department of Mathematics , Lanzhou University , Lanzhou , Gansu , 730000 , People's Republic of China |
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| Abstract: | In this paper, we shall study the asymptotic behavior of solutions of difference equations of the form x n +1 = x n p f ( x n m k 1 , x n m k 2 ,…, x n m k r ), n =0,1,…, where p is a positive constant and k 1 ,…, k r are (fixed) nonnegative integers. In particular, permanence and global attractivity will be discussed. |
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| Keywords: | Nonlinear Difference Equation Delay Permanence Global Attractivity |
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