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.

引用

页码：98 / 105

页数：8

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