高阶中立型时滞微分方程的振动理论  

OSCILLATION THEOREMS FOR NEUTRAL DELAY DIFFERENTIAL EQUATIONS OF HIGHER ORDER

作　　者：林诗仲[1] 吕银平[1] 丁朝刚[1] 俞元洪[2] 

机构地区：[1]海南师范大学数学与统计学院,海南海口571158 [2]中国科学院数学与系统科学研究院,北京100080

出　　处：《数学杂志》2010年第6期1109-1113,共5页Journal of Mathematics

基　　金：国家自然科学数学天元基金项目(10626033)

摘　　要：本文考虑了n阶线性中立型时滞微分方程.利用推广的带有余项的Taylor公式和Kiguradze引理及广义的Riccati变换,获得了方程解振动新的振动准则,所得结果推广和改进了若干文献中已有准则.In this article, the higher order neutral linear delay differential equations are considered. By using general Taylor formula with items, Kiguradze lemma, and the generalized Riccati transformation, we obtain some new oscillatory criteria that ensure the oscillation of solutions. The results obtained extend and improve a number of existing criteria in the literature.

关 键 词：中立型方程 时滞变元 振动定理 

分 类 号：O175.12[理学—数学]