Existence of non-oscillatory solutions of second-order nonlinear neutral differential

被引：0

作者：

Yang, Aijun ^{[1
]}

Zhang, Zhenguo ^{[2
]}

Ge, Weigao ^{[1
]}

机构：

[1] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

[2] Heibei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2008年 / 39卷 / 03期

关键词：

neutral differential equation; positive and negative term; Banach's contraction mapping principle; Krasnoselskii's fixed point theorem;

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, the existence of nonoscillatory solutions of the second-order nonlinear neutral differential equations is studied. Some new sufficient conditions are given and four examples are constructed to show that the results here are almost sharp.

引用

页码：227 / 235

页数：9

共 50 条

[1] Existence of non-oscillatory solutions of second-order neutral delay difference equations
Zhou, Y
Huang, YQ
[J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2001, 20 (04): : 1065 - 1074
[2] Classification and existence of non-oscillatory solutions of second-order neutral delay difference equations
Zhou, Y
Zhang, BG
[J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2001, 20 (01): : 223 - 234
[3] Oscillatory and non-oscillatory behaviour of second-order neutral delay differential equations
Abdallah, SH
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (2-3) : 333 - 344
[4] EXISTENCE OF NON-OSCILLATORY SOLUTIONS FOR SECOND-ORDER ADVANCED HALF-LINEAR DIFFERENTIAL EQUATIONS
Cheng, Aijun
Xu, Zhiting
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[5] EXISTENCE OF NON-OSCILLATORY SOLUTIONS TO FIRST-ORDER NEUTRAL DIFFERENTIAL EQUATIONS
Candan, Tuncay
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[6] EXISTENCE OF NON-OSCILLATORY SOLUTIONS FOR A HIGHER-ORDER NONLINEAR NEUTRAL DIFFERENCE EQUATION
Guo, Zhenyu
Liu, Min
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[7] Existence of non-oscillatory solutions of a kind of first-order neutral differential equation
Kong, Fanchao
[J]. MATHEMATICAL COMMUNICATIONS, 2017, 22 (02) : 151 - 164
[8] Existence for positive solutions of second-order neutral nonlinear differential equations
Culakova, I.
Hanustiakova, L.
Olach, Rudolf
[J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (07) : 1007 - 1010
[9] Non-oscillatory solutions for a nonlinear neutral delay differential equation
Ye, Hailong
Yin, Jingxue
Jin, Chunhua
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 235 : 283 - 291
[10] Existence of Nonoscillatory Solutions for a Second-Order Nonlinear Neutral Delay Differential Equation
Zhen Yu GUO School of Sciences
[J]. Journal of Mathematical Research with Applications, 2011, (03) : 503 - 508

← 1 2 3 4 5 →