Asymptotic Behavior for Nonoscillatory Solutions of Second Order Nonlinear Functional Differential Equation

被引：0

作者：

Luo, Zhimin ^{[1
]}

Chen, Bifei ^{[1
]}

机构：

[1] Luoding Polytech, Dept Educ, Luoding 527200, Guangdong, Peoples R China

来源：

SUSTAINABLE DEVELOPMENT OF NATURAL RESOURCES, PTS 1-3 | 2013年 / 616-618卷

关键词：

nonlinear functional differential equations; Bellman-Bihari inequality; asymptotic behavior; INTEGRATION;

D O I：

10.4028/www.scientific.net/AMR.616-618.2137

中图分类号：

TE [石油、天然气工业]; TK [能源与动力工程];

学科分类号：

0807 ; 0820 ;

摘要：

This paper studied the asymptotic behavior of a class of nonlinear functional differential equations by using the Bellman-Bihari inequality. We obtain results which extend and complement those in references. The results indicate that all non-oscillatory continuable solutions of equation are asymptotic to at+b as t -> infinity under some sufficient conditions, where a,b are real constants. An example is provided to illustrate the application of the results.

引用

页码：2137 / 2141

页数：5

共 50 条

[1] Asymptotic Behavior of nonoscillatory solutions of second order Nonlinear differential equation with perturbation
Sun, Jianwu
Li, Tongrong
Song, Xia
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2007, 14 : 992 - 993
[2] Asymptotic behavior of nonoscillatory solutions of second order nonlinear neutral functional differential equations
Zhang, Quanxin
Wang, Lei
Qiu, Fang
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 145 - 147
[3] ASYMPTOTIC　BEHAVIOR　OF　NONOSCILLATORY　SOLUTIONS　OF　A　SECOND　ORDER　FUNCTIONAL　DIFFERENTIAL　EQUATIONS
孟繁伟
Annals of Applied Mathematics, 1995, (02) : 207 - 212
[4] Asymptotic behavior of nonoscillatory solutions of second order nonlinear neutral differential equations
Hasanbulli, Mustafa
Rogovchenko, Yuri V.
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2007, 10 (03): : 607 - 618
[5] Asymptotic behavior of nonoscillatory solutions of second-order nonlinear differential equations
Mustafa, OG
Rogovchenko, YV
PROCEEDINGS OF DYNAMIC SYSTEMS AND APPLICATIONS, VOL 4, 2004, : 312 - 319
[6] On the nonoscillatory behavior of solutions of a second order linear differential equation
Li, HJ
Yeh, CC
MATHEMATISCHE NACHRICHTEN, 1996, 182 : 295 - 315
[7] ASYMPTOTIC-BEHAVIOR OF NONOSCILLATORY SOLUTIONS OF A HIGHER-ORDER FUNCTIONAL-DIFFERENTIAL EQUATION
ONOSE, H
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1981, 24 (01) : 85 - 92
[8] Existence of nonoscillatory solutions of nonlinear neutral differential equation of second order
Mohamad, Hussain Ali
Jawad, Bashar Ahmed
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2019, 19 (01): : 1 - 8
[9] On the asymptotic behavior of nonoscillatory solutions of second order quasilinear ordinary differential equations
Naito, Manabu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (01) : 315 - 327
[10] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF A SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATION
GRAEF, JR
SPIKES, PW
JOURNAL OF DIFFERENTIAL EQUATIONS, 1975, 17 (02) : 461 - 476

← 1 2 3 4 5 →