New oscillatory conditions of a class of the second-order Emden-Fowler differential equations(一类二阶Emden-Fowler 型微分方程的若干振动条件)

YANGJiashan(杨甲山); QINGuijiang(覃桂茳); QINXuewen(覃学文); ZHAOChunru(赵春茹)

doi:10.3785/j.issn.1008-9497.2019.03.006

Zhejiang Daxue xuebao. Lixue ban (May 2019)

New oscillatory conditions of a class of the second-order Emden-Fowler differential equations(一类二阶Emden-Fowler 型微分方程的若干振动条件)

YANGJiashan(杨甲山),
QINGuijiang(覃桂茳),
QINXuewen(覃学文),
ZHAOChunru(赵春茹)

Affiliations

YANGJiashan(杨甲山): ORCiD; 1.School of Data Science and Software Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China( 1.梧州学院大数据与软件工程学院，广西梧州 543002)
QINGuijiang(覃桂茳): ORCiD; 1.School of Data Science and Software Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China( 1.梧州学院大数据与软件工程学院，广西梧州 543002)
QINXuewen(覃学文): 1.School of Data Science and Software Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China( 1.梧州学院大数据与软件工程学院，广西梧州 543002)
ZHAOChunru(赵春茹): 1.School of Data Science and Software Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China( 1.梧州学院大数据与软件工程学院，广西梧州 543002)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2019.03.006
Journal volume & issue: Vol. 46, no. 3
pp. 302 – 308

Abstract

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利用Riccati 变换技术，借助Bernoulli 不等式和Yang 不等式以及数学分析技巧，研究了具有非线性中立项的二阶广义Emden-Fowler 型微分方程的振动性，考虑非正则情形，建立了该方程的若干振动准则。最后用2 个例子说明，这些准则推广并改进了一些已有的结果，且具有较好的实用性和可操作性。

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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