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|Title:||Oscillations of forced functional differential equations generated by advanced arguments|
|Authors:||Agarwal, R.P. |
Functional differential equation
|Source:||Agarwal, R.P.,Grace, S.R. (2002). Oscillations of forced functional differential equations generated by advanced arguments. Aequationes Mathematicae 63 (1-2) : 26-45. ScholarBank@NUS Repository.|
|Abstract:||This paper is concerned with the oscillatory and asymptotic behavior of the solutions of the forced functional differential equations with advanced arguments of the form d/dt 1/an-1(t) d/dt 1/an-2 (t) ... d/dt 1/a1(t) d/dt x(t) + δf(t, x[g1 (t)], ..., x[gm(t)]) = Q(t), (E, δ) where δ = ±1. Conditions which ensure that every solution of the equation (E, 1) is oscillatory or tending to zero as t → ∞ are given. A classification of all solutions of the equation (E, -1) with respect to their behavior as t → ∞ and to their oscillatory character is also obtained. Finally, the sufficient conditions so that all solutions of the equation (E, δ) are oscillatory or tending to zero as t → ∞ are presented. The obtained results extend and unify recent ones by Werbowski. © Birkhäuser Verlag, 2002.|
|Source Title:||Aequationes Mathematicae|
|Appears in Collections:||Staff Publications|
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