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.
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收藏
页数：11
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