Adapted Riccati technique and non-oscillation of linear and half-linear equations

被引：6
|
作者：
Hasil, P. [1 ]
Juranek, J. [1 ]
Vesely, M. [1 ]
机构：
[1] Masaryk Univ, Fac Sci, Dept Math & Stat, Kotlarska 2, CZ-61137 Brno, Czech Republic
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 82卷
关键词：
Riccati technique; p-Laplacian; Half-linear equation; Non-oscillation criterion; Riccati equation; Oscillation theory; Linear differential equation; NONLINEAR DIFFERENTIAL-EQUATIONS; EULER TYPE; PERIODIC COEFFICIENTS; P-LAPLACIAN; CONSTANTS; OPERATORS; CRITERIA;
D O I：
10.1016/j.aml.2018.03.003
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 mention a generalization of the adapted Riccati equation and, using this method, to prove a non-oscillatory result concerning half-linear differential equations with coefficients having mean values. Note that this result is new even for linear equations. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：98 / 105
页数：8
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