On Oscillation of Second-Order Nonlinear Neutral Functional Differential Equations

被引:0
作者
Sun, Shurong [1 ]
Li, Tongxing [2 ]
Han, Zhenlai [1 ]
Zhang, Chao [1 ]
机构
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
关键词
Oscillation; neutral functional differential equation; second-order; CRITERIA; THEOREMS; ORDER; BEHAVIOR;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, some sufficient conditions are established for the oscillation of second-order neutral functional differential equation [r(t)[x(t)+p(t)x(tau(t))]']' + q(t)f(x(sigma(t))) = 0, t >= t(0), where integral(infinity)(t0) dt/r(t) = infinity, or integral(infinity)(t0)dt/r(t) < infinity, 0 <= p(t) <= p(0) < infinity. The results obtained here complement and improve some known results in the literature.
引用
收藏
页码:541 / 554
页数:14
相关论文
共 35 条
[21]   Oscillation of solutions of neutral differential equations with a superlinear neutral term [J].
Lin, Xiaoyan ;
Tang, X. H. .
APPLIED MATHEMATICS LETTERS, 2007, 20 (09) :1016-1022
[22]   New oscillation criteria for second-order nonlinear neutral delay differential equations [J].
Liu, Lihua ;
Bai, Yuzhen .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 231 (02) :657-663
[23]   Kamenev-type oscillation criteria for even order neutral differential equations with deviating arguments [J].
Meng, Fanwei ;
Xu, Run .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (02) :1402-1408
[24]   OSCILLATION THEOREMS FOR LINEAR-DIFFERENTIAL EQUATIONS OF 2ND ORDER [J].
PHILOS, CG .
ARCHIV DER MATHEMATIK, 1989, 53 (05) :482-492
[25]   Oscillation criteria for second-order nonlinear differential equations with damping [J].
Rogovchenko, Yuri V. ;
Tuncay, Fatos .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (01) :208-221
[26]   OSCILLATIONS OF 2ND-ORDER NEUTRAL DIFFERENTIAL-EQUATIONS [J].
RUAN, SG .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1993, 36 (04) :485-496
[27]   On oscillation of second order neutral type delay differential equations [J].
Sahiner, Y .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 150 (03) :697-706
[28]   Oscillation of Second-Order Neutral Functional Differential Equations with Mixed Nonlinearities [J].
Sun, Shurong ;
Li, Tongxing ;
Han, Zhenlai ;
Sun, Yibing .
ABSTRACT AND APPLIED ANALYSIS, 2011,
[29]   New Kamenev-type oscillation criteria for second-order nonlinear differential equations with damping [J].
Sun, YG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (01) :341-351
[30]   A oscillation theorem for a class of even order neutral differential equations [J].
Tanaka, S .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 273 (01) :172-189