具连续变量的高阶非线性差分方程的振动与非振动准则  

Oscillation and nonoscillation criteria for the higher order nonlinear difference equation with continuous variable

作　　者：杨甲山[1] 李继猛[1] 

机构地区：[1]邵阳学院理学与信息科学系,湖南邵阳422004

出　　处：《合肥工业大学学报（自然科学版）》2010年第6期934-938,共5页Journal of Hefei University of Technology：Natural Science

基　　金：湖南省教育厅科研基金资助项目(07C680)

摘　　要：文章研究了一类具有连续变量的高阶非线性中立型时滞差分方程的振动性,利用Banach空间的不动点原理和一些分析技巧,得到了这类方程振动和非振动的一些新的判别准则,推广并改进了现有文献中的一些结果。The paper studies the oscillation of a class of higher order nonlinear neutral delay difference equation with continuous variable. Using the fixed point theorem in Banach space and certain analytic techniques, some new oscillation and nonoscillation criteria for higher order nonlinear difference equa- tion are obtained. Some results in current literature are improved and extended.

关 键 词：连续变量 非线性 不动点原理 最终正解 振动 

分 类 号：O175.7[理学—数学]