二阶非线性阻尼泛函差分方程的振动性定理  

Oscillation Theorems of Second-Order Nonlinear Damped Functional Difference Equations

作　　者：覃桂茳 杨甲山 QIN GUi-jiang;YANG Jia-shan(Guangxi Colleges and Universities Key Laboratory of Professional Software Technology,School of Data Science and Software Engineering,Wuzhou University,Wuzhou 543002,China)

机构地区：[1]梧州学院大数据与软件工程学院广西高校行业软件技术重点实验室

出　　处：《数学的实践与认识》2019年第24期237-245,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(51765060);广西自然科学基金(2018JJB170034)

摘　　要：研究一类具阻尼项的二阶广义Emden-Fowler型变时滞的泛函差分方程的振动性,通过引入二重序列H(n,s),并结合一些经典不等式,获得了该类差分方程振动的4个新的充分条件,所得结果反应了时滞项和阻尼项在差分系统振动中的影响作用.We investigate the oscillatory behavior of a class of second-order generalized Emden-Fowler variable delay functional difference equations with damping.By introducing double sequence Hn,s and combining with the classical inequality,four new sufficient conditions for oscillation of the equations are proposed.The obtained results reflect the influencial actions of time delay term and damping term in difference system oscillation.

关 键 词：振动性 中立型差分方程 变时滞 阻尼项 RICCATI变换 

分 类 号：O175[理学—数学]