Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637527 | Applied Mathematics and Computation | 2006 | 10 Pages |
Abstract
In this paper, we consider the n-order neutral delay differential equation with unstable type((x(t)-p(t)x(t-τ))(n)=q(t)|x(t-σ)|α-1x(t-σ),t⩾t0,where n ⩾ 2 is an even integer, α ⩾ 1, τ > 0, σ > 0 and p, q ∈ C([t0, +∞), R+). We first prove that this equation always has an unbounded positive solution, then some new bounded oscillation and nonoscillation criteria are obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiaoping Li, Yuehua Liu, Tiejun Zhou,