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|Title:||Oscillation of higher-order difference equations|
|Authors:||Agarwal, R.P. |
|Source:||Agarwal, R.P.,Grace, S.R. (2000-01). Oscillation of higher-order difference equations. Applied Mathematics Letters 13 (1) : 81-88. ScholarBank@NUS Repository.|
|Abstract:||We shall establish sufficient conditions for the oscillation of all solutions of the even-order difference equations of the form Δmcursive Greek chin + pnΔm-1cursive Greek chin + F(n, cursive Greek chin-g, Δcursive Greek chin-h) = 0, m is even, by comparing it with certain difference equations of lower order whose oscillatory character is known. The obtained results can be applied to the difference equation Δmcursive Greek chin + pnΔm-1cursive Greek chin + qn |cursive Greek chin-g|λ |Δcursive Greek chin-h|μ sgn cursive Greek chin-g = 0, m is even, where λ > 0 and μ ≥ 0 are real constants. © 1999 Elsevier Science Ltd. All rights reserved.|
|Source Title:||Applied Mathematics Letters|
|Appears in Collections:||Staff Publications|
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