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New oscillation results for second-order neutral delay dynamic equations

Research paper by Chenghui Zhang, Ravi P Agarwal, Martin Bohner, Tongxing Li

Indexed on: 28 Dec '12Published on: 28 Dec '12Published in: Advances in difference equations



Abstract

This paper is concerned with oscillatory behavior of a certain class of second-order neutral delay dynamic equationson a time scale T with supT=∞, where 0≤p(t)≤p0<∞. Some new results are presented that not only complement and improve those related results in the literature, but also improve some known results for a second-order delay dynamic equation without a neutral term. Further, the main results improve some related results for second-order neutral differential equations.MSC:34K11, 34N05, 39A10.