Oscillation criteria for second order Emden-Fowler functional differential equations of neutral type

被引：14

作者：

Wu, Yingzhu ^{[1
]}

Yu, Yuanhong ^{[2
]}

Zhang, Jimin ^{[3
]}

Xiao, Jinsen ^{[4
]}

机构：

[1] Guangdong Univ Petrochem Technol, Dept Math, Maoming 525000, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[3] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China

[4] Guangdong Univ Petrochem Technol, Sch Sci, Maoming 525000, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

基金：

中国国家自然科学基金;

关键词：

Emden-Fowler equation; oscillation criterion; Riccati method;

D O I：

10.1186/s13660-016-1268-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, some new oscillation criterion for the second order Emden-Fowler functional differential equation of neutral type (r(t)vertical bar z'(t)vertical bar(alpha-1) z'(t))' + q(t)vertical bar x(sigma(t))vertical bar(beta-1) x (sigma(t)) = 0, where z(t) = x(t) + p(t)x(tau(t)), alpha > 0 and beta > 0 are established. Our results improve some well-known results which were published recently in the literature. Some illustrating examples are also provided to show the importance of our results.

引用

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页数：11

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