高阶非线性中立型方程的振动定理  

Oscillation Theorems for Higher Order Nonlinear Neutral Equations

作　　者：周兴盛[1] 

机构地区：[1]张家口职业技术学院基础部,河北张家口075031

出　　处：《山西师范大学学报（自然科学版）》2005年第3期12-14,共3页Journal of Shanxi Normal University(Natural Science Edition)

摘　　要：研究了一类具有连续分布滞量的高阶非线性中立型方程{a(t)[x(t)+m∑i=1ci(t)x(iτ(t))](n-1)}′+b∫af(t,,ξx(g(t,ξ)))dσ(ξ)=0的振动性,利用R iccati变换并运用分析方法和技巧,得到了该类方程新的振动准则,所得结论推广和改进了已知文献的部分结果.Oscillatory theorems of higher - order nonlinear neutral equations with continuous distributed delay of the form {a（t）[x（t）＋∑i=1^mci（t）x（τi（t））]^（n-1）}＇＋∫a^bf（t,ζ,x（g（t,ζ）））dσ（ζ）=0 are investigated, Bying generalized Riccati transformation and using analytic method and technique, Some new oscillation criteria of the equation are obtained. The some known results in the literature are improved and generalized.

关 键 词：高阶非线性中立型方程 振动性 连续分布时滞 RICCATI变换 

分 类 号：O175.12[理学—数学]