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

[31] ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATION ON TIME SCALES
Chaolong Zhang～1
2.School of Math.and Computational Science
Annals of Applied Mathematics, 2011, (04) : 509 - 515
[32] Existence of unbounded nonoscillatory solutions for second order functional differential equations
Luo, Jiaowan
Li, Junping
Changsha Tiedao Xuyuan Xuebao/Journal of Changsha Railway University, 2000, 18 (03): : 102 - 105
[33] Nonoscillatory solutions of higher order nonlinear neutral functional differential equations
Zhou, Yong
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2007, 37 (03) : 1059 - 1082
[34] Asymptotic behavior of positive solutions to nonlinear singular differential equations of second order
Tanigawa, T
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 1999, 35 (3-4) : 427 - 444
[35] Existence of nonoscillatory solution for second order nonlinear neutral delay differential equation
Zhang, Jinzhu
Jin, Zhen
Zhang, Huimin
SNPD 2007: EIGHTH ACIS INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING, AND PARALLEL/DISTRIBUTED COMPUTING, VOL 2, PROCEEDINGS, 2007, : 339 - +
[36] Asymptotic Behavior of the Solutions of Essentially Nonlinear Second-Order Differential Equations
Vladova E.S.
Journal of Mathematical Sciences, 2017, 223 (3) : 223 - 231
[37] On the asymptotic behavior of the solutions of a class of second-order nonlinear differential equations
Cheng, Yumin
Shen, Zuyan
Tongji Daxue Xuebao/Journal of Tongji University, 1996, 24 (05): : 568 - 573
[38] On the asymptotic behavior of positive solutions to nonlinear second-order differential equations
Aslanov, Afgan
MONATSHEFTE FUR MATHEMATIK, 2022, 199 (02): : 233 - 241
[39] Asymptotic behavior of solutions of second-order nonlinear impulsive differential equations
Jiao, Jianiun
Chen, Lansun
Li, Limei
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (01) : 458 - 463
[40] On the asymptotic behavior of positive solutions to nonlinear second-order differential equations
Afgan Aslanov
Monatshefte für Mathematik, 2022, 199 : 233 - 241

← 1 2 3 4 5 →