二阶Emden-Fowler中立型时滞微分方程振动准则
Oscillation Criteria of Second Order Emden-Fowler Neutral Delay Differential Equations

作者: 韩振来 , 李同兴 , 孙一冰 , 孙莹 :济南大学数学院,济南;

关键词: 中立型时滞微分方程振动性Riccati变换Neutral delay differential equations Oscillation Riccati transformation

摘要: 借助广义Riccati变换和不等式技巧,研究了一类较一般形式的二阶Emden-Fowler 中立型时滞微分方程的振动性,给出了该类微分方程区间振动准则。

Abstract: By Riccati transformation and inequality technique, the oscillation of second order Emden-Fowler neutral delay differential equations is considered, some new interval oscillation criteria are established.

文章引用: 韩振来 , 李同兴 , 孙一冰 , 孙莹 (2011) 二阶Emden-Fowler中立型时滞微分方程振动准则。 理论数学, 1, 37-40. doi: 10.12677/pm.2011.11008

参考文献

[1] S. H. Abdallah. Oscillation and non-oscillation behavior of second-order neutral delay differential equations. Appl. Math. Comput., 2003, 135(2-3): 333-344.

[2] W. T. Li. Interval oscillation of second order half-linear functional differential equations. Appl. Math. Comput., 2004, 155(2):4451-468.

[3] Z. T. Xu, X. X. Liu. Philos-type oscillation criteria for Emden-Fowler neutral delay differential equations. J. Comp. Appl. Math., 2007, 206 (2): 1116-1126.

[4] Q. Yang, L. Yang, S. Zhu. Interval criteria for Oscillation of second order neutral differential equations. Comput. Math. Appl., 2003, 46(5-6): 903-918.

[5] Q. R. Wang. Interval criteria for oscillation of second-order nonlinear differential equations. Appl. Math. Comput., 2007, 205(1): 231-238.

分享
Top