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|Title:||Oscillations and nonoscillations of half-linear difference equations generated by deviating arguments|
Half-linear difference equations
|Source:||Wong, P.J.Y.,Agarwal, R.P. (1998-11). Oscillations and nonoscillations of half-linear difference equations generated by deviating arguments. Computers and Mathematics with Applications 36 (10-12) : 11-26. ScholarBank@NUS Repository.|
|Abstract:||For the half-linear difference equation Δ [|Δy(k)|α-1Δy(k)] = ∑n i = 1pi(k)|y(gi(k))|α - 1 y(gi(k)), where α > 0, we shall offer sufficient conditions for the oscillation of all solutions, as well as necessary and sufficient conditions for the existence of both bounded and unbounded nonoscillatory solutions. Several examples which dwell upon the importance of our results are also included. © 1908 Elsevier Science Ltd. All rights reserved.|
|Source Title:||Computers and Mathematics with Applications|
|Appears in Collections:||Staff Publications|
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