ON NONOSCILLATORY SOLUTIONS TENDING TO ZERO OF THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATIONS

被引：3

作者：

Mojsej, Ivan ^{[1
]}

Tartal'ova, Alena ^{[2
]}

机构：

[1] Safarik Univ, Fac Sci, Inst Math, Jesenna 5, SK-04001 Kosice, Slovakia

[2] Tech Univ, Fac Econ, Dept Appl Math & Business Informat, Kosice SK-04001, Slovakia

来源：

DIFFERENTIAL AND DIFFERENCE EQUATIONS AND APPLICATIONS 2010 | 2011年 / 48卷

关键词：

nonlinear differential equation of third order; quasiderivatives; existence and asymptotic behavior; nonoscillatory solution; Banach fixed point theorem; ASYMPTOTIC PROPERTIES; OSCILLATION;

D O I：

10.2478/v10127-011-0013-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to present some results concerning with the asymptotic behavior of solutions of nonlinear differential equations of the third-order with quasiderivatives. In particular, we state the necessary and sufficient conditions ensuring the existence of nonoscillatory solutions tending to zero as t -> infinity.

引用

页码：135 / +

页数：3

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