具正负系数和多变时滞的高阶泛函差分方程的振动性定理  

Oscillation Theorems for a Class of Higher Order Functional Difference Equations with Positive and Negative Coefficients and Multi-Time Delay

作　　者：杨甲山[1] 

机构地区：[1]梧州学院信息与电子工程学院,广西梧州543002

出　　处：《昆明理工大学学报（自然科学版）》2014年第6期130-135,共6页Journal of Kunming University of Science and Technology(Natural Science)

基　　金：广西自治区教育厅科研基金资助项目(2013YB223);湖南省科技厅基金项目(2012FJ3107)

摘　　要：研究了一类高阶非线性变系数多时滞的且具有正负系数的中立型泛函差分方程的振动性质,利用Riccati变换及一些分析技巧,结合Banach空间的不动点定理,得到了该类方程一些新的振动和非振动准则,拓广和改进了现有文献中的某些结果.This paper is concerned with the oscillatory behavior of a class of higher order nonlinear neutral func-tional difference equation with variable coefficients and multi-time delay and positive and negative coefficients. By using the fixed point theorem in Banach space,the generalized Riccati transformation and a lot of inequality techniques,some new oscillation and nonoscillation criteria for the equation are obtained.These results improve and generalize some corresponding known results in the literature.

关 键 词：正负系数 中立型时滞差分方程 非线性 振动和非振动 RICCATI变换 

分 类 号：O175.7[理学—数学]