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
收藏
页码:2137 / 2141
页数:5
相关论文
共 9 条
[1]   On the asymptotic integration of nonlinear differential equations [J].
Agarwal, Ravi P. ;
Djebali, Smail ;
Moussaoui, Toufik ;
Mustafa, Octavian G. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 202 (02) :352-376
[3]  
Dnanan F. M., 1990, J MATH ANAL APPL, V108, P383
[4]  
Dzurina J., 2002, Arch. Math. Brno, V38, P319
[5]   On the asymptotic behaviour of the solutions to a class of second order nonlinear differential equations [J].
Lipovan, O .
GLASGOW MATHEMATICAL JOURNAL, 2003, 45 :179-187
[6]   Asymptotic integration of a class of nonlinear differential equations [J].
Mustafa, Octavian G. ;
Rogovchenko, Yuri V. .
APPLIED MATHEMATICS LETTERS, 2006, 19 (09) :849-853
[7]   Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations [J].
Mustafa, OG ;
Rogovchenko, YV .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (02) :339-368
[8]   ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF 2ND ORDER DIFFERENTIAL-EQUATIONS WITH INTEGRABLE COEFFICIENTS [J].
NAITO, M .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 282 (02) :577-588
[9]  
Rogovchenko S.P., 2000, Portugaliae Mathematica, V57, P17