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|Title:||Forced oscillation of nth-order nonlinear differential equations|
|Authors:||Agarwal, R.P. |
|Source:||Agarwal, R.P.,Grace, S.R. (2000-10). Forced oscillation of nth-order nonlinear differential equations. Applied Mathematics Letters 13 (7) : 53-57. ScholarBank@NUS Repository.|
|Abstract:||Some new oscillation criteria for forced nonlinear equations of the form x(n)(t) - g(t)|x(t)|λsgnx(t) = f(f), λ > 1, are established. We impose no restriction on the forcing term f(t) as those assumed in [1,2]. We further employ the technique presented here to establish new oscillation criteria for forced nonlinear neutral equations of the form (x(t) + cx[t - τ])(n) + a(t)x(t) + b(t)x [t - τ] = f(t) + q(t)|x(t)|λsgnx(t) + p(t)|x[t - τ]|σsgn x[t - τ], where λ > 1 and σ > 1. © 2000 Elsevier Science Ltd. All rights reserved.|
|Source Title:||Applied Mathematics Letters|
|Appears in Collections:||Staff Publications|
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