一阶非线性具偏差变元的微分方程的振动准则  

Oscillation Criteria for First Order Nonlinear Differential Equations with Deviating Arguments

作　　者：于国圣[1] 张弘强[1] 

机构地区：[1]长沙理工大学数学与计算科学学院,湖南长沙410076

出　　处：《湖北民族学院学报（自然科学版）》2007年第1期31-34,共4页Journal of Hubei Minzu University(Natural Science Edition)

基　　金：湖南省自然科学基金资助项目(05JJ30013);湖南省教育厅资助项目(05C268)

摘　　要：研究了一类一阶非线性具偏差变元的微分不等式及方程解的性质,通过引进一个新的变换,获得了其解的有关振动性质的一些新的结果,所得结果推广了相应的结果.The properties of solutions to a class of first order nonlinear differential inequalities and differential equations with deviating arguments are studied in this paper. By introducing a new transformation, some new oscillatory results of them are obtained. This method can also be applied in advanced differential inequalities and differential equations. The obtained results extend the corresponding results in the literature.

关 键 词：非线性 微分方程 偏差变元 振动性 

分 类 号：O175[理学—数学]