时标上一类二阶非线性动态方程振动性的新准则  

New criteria for oscillation of certain second-order nonlinear dynamic equations on time scales

作　　者：覃桂茳 杨甲山 QIN Guijiang;YANG Jiashan(School of Data Science and Software Engineering,Guangxi Colleges and Universities Key Laboratory of Professional Software Technology,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：《安徽大学学报（自然科学版）》2019年第1期24-31,共8页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51765060);广西壮族自治区教育厅科研基金资助项目(2013YB223);湖南省科技厅基金资助项目(2012FJ3107)

摘　　要：研究时标T上一类二阶非线性中立型变时滞的动态方程[a(t)φ1(y^△(t))^△+f(t,φ2(x(δ(t))))=0的振动性,其中:y(t)=x(t)+p(t)x(r(t)),得到了该方程振动的一些新准则.这些准则推广并改进了现有文献中的一系列结果.最后举例说明了论文定理的应用.This paper studied oscillations of certain second-order nonlinear neutral variable delay dynamic equation [a(t)φ1(y^△(t))^△+f(t,φ2(x(δ(t))))=0 on a time scale T,where y(t)=x(t)+p(t)x(r(t)).We established some new oscillation criteria for the equation, some existing results in the literature were improved and extended.An example was given to illustrate the results.

关 键 词：振动性 时标 泛函动态方程 变时滞 

分 类 号：O175.7[理学—数学]