一类二阶非线性泛函微分方程的振动准则  

Oscillation Criteria for Some Second Order Nonlinear Functional Differential Equation

作　　者：王芳[1] 

机构地区：[1]中北大学数学系,山西太原030008

出　　处：《山西大同大学学报（自然科学版）》2013年第4期4-6,共3页Journal of Shanxi Datong University(Natural Science Edition)

摘　　要：讨论一类二阶非线性泛函微分方程(a(t)y′(t)σ)′+q(t)F(y(t),y(τ(t)))g(y′(t))=0在F(u,ν)=f(ν)∈C(R,R)这一特殊情形时方程解的振动性,得到此类方程的解振动性的充分判据,所获得的结果可应用于σ是分母为奇数时的情形,改进了一些文献中的相应结论。In recent years,the oscillatory theory of functional differential equation attracted much attention,which has great significance in the theory and practice.In this paper,we discuss the oscillatory of the solution for the second order nonlinear functional differential equation when is a special case of oscillation of the equations,to get the sufficient criteria for the oscillatory of the solution for this kind of equation.The results are used when the denominator is odd,and improve the relevant conclusion in some literature.

关 键 词：非线性 泛函微分方程 振动性 

分 类 号：TP39[自动化与计算机技术—计算机应用技术]