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.
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页码：135 / +
页数：3
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