摘要
研究了一类二阶变时滞阻尼泛函差分方程Δ[Anφ(Δyn)]+Bnφ(Δyn)+Qnf(φ(xσ))=n0(n≥n0)的振荡性,这里yn=xn+Pλng(xτ),0.nφ(u)=|u|-1u,λ>利用完全平方技术及大量不等式技巧,获得了该类方程振荡的新判别准则,这些准则推广并改进了现有文献中的一些已知结果.
This paper is concerned with the oscillatory behavior of certain class of second -order variable delay damped difference equation Δ[Anφ（Δyn ）]＋Bnφ（Δyn ）＋Qn f（φ（xσn ）） =0（n ≥ n0 ）,where yn =xn ＋Pn g（xτn ）,φ（u）=｜u ｜^λ-1 u,λ〉0.We get some new oscillation criteria for the equation by using averaging technique and inequality technique.Our criteria in this article can improve and generalize some corresponding known results in the literature.
出处
《昆明理工大学学报（自然科学版）》
CAS
2015年第4期131-138,共8页
Journal of Kunming University of Science and Technology(Natural Science)
基金
Supported by the Scientific Research Fund of Education Department of Guangxi Zhuang Autonomous Region(2013YB223)
Hunan Province Science and Technology Project(2012FJ3107)
the Scientific Research Fund of Wuzhou University(2014A003)
