Oscillation criteria for nth order nonlinear neutral differential equations

被引：8

作者：

Shi, Yanxiang ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 235卷

基金：

中国国家自然科学基金;

关键词：

Oscillation; Neutral differential equations; Eventually positive solution; DEVIATING ARGUMENTS; BEHAVIOR;

D O I：

10.1016/j.amc.2014.03.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions are established for the oscillation of nth order neutral differential equations of the form [GRAPHICS] where n >= 2 is even integer, alpha >= 1, p, q is an element of C([i(0,) +infinity), R), integral is an element of C(R, R). The results obtained extend some of the known results. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：423 / 429

页数：7

共 50 条

[1] OSCILLATION CRITERIA FOR NTH ORDER NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS
GRACE, SR
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (01) : 44 - 55
[2] Oscillation criteria for second order nonlinear neutral differential equations
Hasanbulli, Mustafa
Rogovchenko, Yuri V.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (12) : 4392 - 4399
[3] Oscillation criteria for even order nonlinear neutral differential equations
Sun, Yibing
Han, Zhenlai
Sun, Shurong
Zhang, Chao
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (30) : 1 - 12
[4] Interval oscillation criteria for second order neutral nonlinear differential equations
Zhuang, RK
Li, WT
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (01) : 39 - 51
[5] OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE
Gai Mingjiu Shi Bao Zhang DecunDept.ofBasicSciences
[J]. Applied Mathematics:A Journal of Chinese Universities, 2001, (02) : 122 - 126
[6] Oscillation criteria for second order nonlinear differential equations of neutral type
Gai M.
Shi B.
Zhang D.
[J]. Applied Mathematics-A Journal of Chinese Universities, 2001, 16 (2) : 122 - 126
[7] Oscillation criteria for a class of nonlinear fourth order neutral differential equations
Tripathy, A. K.
[J]. MATHEMATICA SLOVACA, 2013, 63 (02) : 243 - 262
[8] Oscillation criteria for nth-order nonlinear delay differential equations with a middle term
Grace, S. R.
Zafer, A.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (05) : 1150 - 1158
[9] Forced oscillation of nth-order nonlinear differential equations
Yang, XJ
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 134 (2-3) : 301 - 305
[10] Forced oscillation of nth-order nonlinear differential equations
Agarwal, RP
Grace, SR
[J]. APPLIED MATHEMATICS LETTERS, 2000, 13 (07) : 53 - 57

← 1 2 3 4 5 →