一类二阶Emden-Fowler型中立型时滞微分方程的区间振动性  

Interval Oscillation Criteria for Second-order Emden-Fowler Neutral Delay Differential Equations

作　　者：张静 陈目[2] 

机构地区：[1]广州市纺织服装职业学校,广东广州510310 [2]广东体育职业技术学院,广东广州510663

出　　处：《大学数学》2011年第3期124-130,共7页College Mathematics

摘　　要：对一类二阶Emden-Fowler型中立型时滞积分方程(a(t)x′(t))′+q1(t)|y(t-1σ)|αsgnx(t-1σ)+q2(t)|y(t-2σ)|βsgny(t-2σ)=0,利用Riccati技巧和积分平均法,给出了一些判定其解振动的充分判据.这些判据仅依赖于方程的系数在[t0,∞)的区间列的性质,而非整个[t0,∞)上的性质.最后,我们给出实例以阐述主要结果的有效性.By using a generalized Riccati technique and an integral averaging method,interval oscillation criteria are established for the second-order Emden-Fowler neutral delay differential equation（a（t）x′（t））′＋q1（t）｜y（t-σ1）｜αsgn x（t-σ1）＋q2（t）｜y（t-σ2）｜βsgn y（t-σ2）=0.These criteria are different from most know ones that they are based on information only on a sequence of subintervals of,rather than on the whole half-line.In particular,a interesting examples that point out the importance of our results are also included.

关 键 词：振动 中立型时滞微分方程 积分平均法 

分 类 号：O175.13[理学—数学]