时标上三阶非线性时滞动力方程的振动性定理  

Oscillation theorems for third-order nonlinear delay dynamic equations on time scales

作　　者：冯瑞华 仉志余 FENG Rui-hua;ZHANG Zhi-yu(School of Math.Sci.,North University of China,Shanxi 030051,China;Dept.of Sci.,Taiyuan Institute of Technology,Shanxi 030008,China)

机构地区：[1]中北大学理学院,山西太原030051 [2]太原工业学院理学系,山西太原030008

出　　处：《高校应用数学学报（A辑）》2020年第2期211-222,共12页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11701528);山西省自然科学基金(2011011002-3)。

摘　　要：本文研究时标上三阶非线性时滞动力方程的振动性,利用Riccati变换和不等式技巧,得到了较广泛的一类时滞动力方程的Leighton型, Philos型和Kamenev型振动定理,改进和推广了已有文献中的相应结果,并给出实例验证了所得结果的有效性.This paper is concerned with the oscillatory behavior of third-order nonlinear delay dynamic equations on time scales.By using Riccati transformation and inequality techniques,the Leighton-type,Philos-type and Kamenev-type oscillation criteria for a class of delay dynamic equations on time scales are obtained.Our results improve and generalize the corresponding results in the existing literatures,and give an example to verify the validity of the obtained results.

关 键 词：时标 三阶动力方程 时滞 RICCATI变换 不等式技巧 振动性 

分 类 号：O175.14[理学—数学]