二阶广义Emden-Fowler型微分方程的振荡性  

Oscillation of second-order generalized Emden-Fowler-type differential equations

作　　者：李继猛 LI Ji-meng(School of Science, Shaoyang University, Shaoyang Hunan 422004, China)

机构地区：[1]邵阳学院理学院

出　　处：《华东师范大学学报（自然科学版）》2019年第4期11-18,共8页Journal of East China Normal University(Natural Science)

基　　金：湖南省自然科学基金(12JJ3008);湖南省教育厅教学改革研究项目(2016jg671);邵阳市科技计划项目(2016GX04)

摘　　要：研究了一类二阶广义Emden-Fowler型非线性变时滞中立型泛函微分方程的振荡性.利用广义Riccati变换技术及一些分析技巧,在条件∫t0^∞α^-1/β(t)dt<+∞下建立了该类方程振荡的两个新的判别准则.所举例子说明,这些准则未仅推广和改进了一些已有的结果,而且具有较好的实用性和可操作性.The oscillatory behavior of a class of second-order generalized Emden- Fowler-type nonlinear variable delay neutral functional differential equations is studied in this article.By using the generalized Riccati transformation and some analytic techniques,we establish two new oscillation criteria for the equations under the condition ∫t0^∞α^-1/β(t)dt<+∞.Illustrative examples are provided to show that our results extend and improve those previously reported in the literature,and the results are both practical and implementable.

关 键 词：振荡性 Emden-Fowler型微分方程 RICCATI变换 

分 类 号：O175.7[理学—数学]