Author/Authors :
Li, Tongxing University of Jinan - School of Mathematics, China , Li, Tongxing Shandong University - School of Control Science and Engineering, China , Sun, Shurong University of Jinan - School of Mathematics, China , Han, Zhenlai University of Jinan - School of Mathematics, China , Han, Zhenlai Shandong University - School of Control Science and Engineering, China , Han, Bangxian University of Science and Technology - Department of Mathematics, China , Sun, Yibing University of Jinan - School of Mathematics, China
Abstract :
In this paper, some new oscillation criteria are obtained for the second-order quasi-linear neutral delay differential equation (r(t)|x(t) +p(t)x( τ(t))) |^α-1(x(t) + p(t)x( τ(t))) ) + f(t,x(σ(t)))= 0, t ≥ t0 under the case when ∫ ∞ t0 1/ r ^1/α (t) dt ∞: Our results improve and supplement some known results in the literature. An example is also provided to illustrate the main results.
Keywords :
Oscillation , Neutral delay differential equation , Second , order
