期刊论文

Oscillation Criteria for Generalized Neutral Emden-Fowler Equations

中文

数学物理学报

1003-3998

2016

36

6

1067-1081

10.3969/j.issn.1003-3998.2016.06.006

湖南省“十三五”重点建设学科项目（[2016]）； 湖南省教育厅科研基金（14C0170）资助~~；

本校为第一机构

该文建立了广义中立型Emden-Fowler方程(r(t)|y'(t) |~(α-1)y'(t))' + f(t,x(σ(t))) = 0,t≥t_0的若干新的振动准则,其中α>0,y(t)=x(t)+p(t)(τ(t))),一μ≤p(t)≤1,μ∈(0,1).所得的结果改进和推广了最近文献中的一些结果.也给出了说明所得结果的重要性的例子.

Oscillation criteria are established for generalized neutral Emden-Fowler equations of the form (r(t)|y'(t)|~(α-1)y'(t))' + f(t,x(σ(t))) =0, t≥ t_0,where α > 0, y(t) = x(t)+p(t)x(τ(t)), -μ ≤ p(t) ≤ 1,μ ∈ (0,1). Our results improve and extend some known results in the literature, recently. Some illustrating examples are also provided to...