Asymptotic behaviour of the solutions of second order functional differential equations

被引：1

作者：

Almenar, Pedro ^{[2
]}

Jodar, Lucas ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Valencia 46022, Spain

[2] Vodafone Spain SA, PE Castellano Norte, Madrid 28050, Spain

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 01期

关键词：

Second order nonlinear differential equation; Second order functional differential equation; Asymptotics; Opial's inequality; Chanturia; EXPLICIT BOUNDS; REGULAR GROWTH;

D O I：

10.1016/j.camwa.2011.05.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents integral criteria to determine the asymptotic behaviour of the solutions of second order nonlinear differential equations of the type y ''(x) + q(x)f(y(x)) = 0, with q(x) > 0 and f(y) odd and positive for y > 0, as x tends to +infinity. It also compares them with the results obtained by Chanturia (1975) in [11] for the same problem. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：297 / 309

页数：13

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