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Comparison theorems for the oscillation of higher order difference equations with deviating arguments |
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| Authors: | PJY Wong RP Agarwal |
| Institution: | Division of Mathematics Nanyang Technological University, Singapore Department of Mathematics National University of Singapore, Singapore |
| Abstract: | The difference equation Δ y + δp(k)f (y (g (k))) = 0, where p(k) is positive, is classified into four cases according to is odd or even and δ is 1 or −1. In each case, we shall offer comparison theorems for the oscillation of the difference equation. Examples are also included to illustrate the importance of the results obtained. |
| Keywords: | Comparison theorems Oscillatory solutions Difference equations |
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