Oscillation for a generalized neutral Emden-Fowler equation with damping and distributed delay

被引：0
作者：
Lei, Fengsheng [1 ]
Li, Jiandong [1 ]
Liu, Guirong [2 ]
机构：
[1] Luliang Univ, Dept Math, Lishi 033000, Shanxi, Peoples R China
[2] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
SCIENCEASIA | 2019年 / 45卷 / 04期
基金：
中国国家自然科学基金;
关键词：
oscillation; damping; distributed delay; Emden-Fowler equation; DIFFERENTIAL-EQUATIONS; CRITERIA;
D O I：
10.2306/scienceasia1513-1874.2019.45.371
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this study, we consider the generalized neutral Emden-Fowler equation with damping and distributed delay [r(t)z'(t)(alpha-1)z'(t)]' + c(t)z'(t)vertical bar(alpha-1)z'(t) + integral(b)(a) q(t, xi)vertical bar x(g(t, xi))vertical bar(beta-1)x(g(t, xi))d xi = 0 where z(t) = x (t) + p(t) x (tau(t)), alpha, beta > 0. By using averaging technique and some analytical skills, we obtain the sufficient conditions to ensure the oscillation for the above equation. Our results improve and generalize some existing results. Finally, two examples are given to show the feasibility of our results.
引用
收藏
页码：371 / 379
页数：9
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