Abstract
Some sufficient conditions are established for the oscillation of second-order neutral differential equation , , where . The results complement and improve those of Grammatikopoulos et al. Ladas, A. Meimaridou, Oscillation of second-order neutral delay differential equations, Rat. Mat. 1 (1985), Grace and Lalli (1987), Ruan (1993), H. J. Li (1996), H. J. Li (1997), Xu and Xia (2008).
Highlights
The oscillatory behavior of differential equations has been the subject of intensive study; we refer to the articles 1–13 ; Especially, the study of the oscillation of neutral delay differential equations is of great interest in the last three decades; see for example 14–38 and references cited therein
Second-order neutral delay differential equations have applications in problems dealing with vibrating masses attached to an elastic bar and in some variational problems see 39
This paper is concerned with the oscillatory behavior of the second-order neutral delay differential equation xt ptxτt qtfxσt 0, t ≥ t0, 1.1 where p, q ∈ C t0, ∞, R, f ∈ C R, R
Summary
Oscillation Criteria for Second-Order Nonlinear Neutral Delay Differential Equations. J. Li 1997 , Xu and Xia 2008
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