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The asymptotic stability of difference equations |
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| Institution: | Department of Mathematics and Computing, University of Veszprém P.O. Box 158, 8201 Veszprém, Hungary |
| Abstract: | In this paper, the linear delay difference equation xn+1 −xn = −anxn−k, where an ≥ 0 (n ≥ 0) any nonnegative coefficient sequence, is considered and its stability properties are investigated. The obtained result is extended to the nonlinear difference equation xn+1 − xn = fn(xn−k). |
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