Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630119 | Applied Mathematics and Computation | 2012 | 6 Pages |
Abstract
In this paper, we establish some new oscillation criteria for the following forced functional differential equationx(n)(t)+q(t)|x(τ(t))|λ-1x(τ(t))=e(t),t∈[t0,∞).No restriction is imposed on the forcing term e(t) to be the n th derivative of an oscillatory function. Two cases have been taken into consideration: (i) q(t)<0,λ>1 and τ(t)⩽t(⩾t); (ii) q(t) changes its sign, 0 < λ < 1 and τ(t)⩽t(⩾t). The main results generalize some existing results and can be applied to the oscillation problem that are not covered in the literature.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuangong Sun, Zhenlai Han,