Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103901
Title: Oscillations of forced functional differential equations generated by advanced arguments
Authors: Agarwal, R.P. 
Grace, S.R.
Keywords: Advanced argument
Forcing term
Functional differential equation
Oscillation
Issue Date: 2002
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
URI: http://scholarbank.nus.edu.sg/handle/10635/103901
ISSN: 00019054
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

21
checked on Feb 16, 2018

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.