Asymptotic behavior of nonoscillatory solutions to n-th order nonlinear neutral differential equations

被引：17

作者：

Hasanbulli, Mustafa ^{[1
]}

Rogovchenko, Yuri V. ^{[1
,2
]}

机构：

[1] Eastern Mediterranean Univ, Dept Math, TR-446262 Trnc 10, Mersin, Turkey

[2] Univ Kalmar, Sch Pure & Appl Nat Sci, SE-39182 Kalmar, Sweden

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 04期

关键词：

nonlinear neutral differential equations; n-th order; asymptotic behavior; nonoscillatory solutions; indefinite continuation;

D O I：

10.1016/j.na.2007.06.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a class of n-th order nonlinear neutral differential equations, sufficient conditions for all nonoscillatory solutions to satisfy lim(t) (->+infinity) t(1-n)x(t) = a are established. For another class of equations, necessary and sufficient conditions for nonoscillatory solutions to satisfy the above condition are obtained. Our theorems complement and extend recent results reported in the literature. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1208 / 1218

页数：11

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