Non-oscillation of half-linear differential equations with periodic coefficients

被引：19

作者：

Hasil, Petr ^{[1
]}

Vesely, Michal ^{[1
]}

机构：

[1] Masaryk Univ, Fac Sci, Dept Math & Stat, CZ-61137 Brno, Czech Republic

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2015年 / 01期

关键词：

half-linear equations; oscillation theory; conditional oscillation; Prufer angle; Riccati equation; CONSTRUCTION; CONSTANTS; OPERATORS; CRITERIA;

D O I：

10.14232/ejqtde.2015.1.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider half-linear Euler type differential equations with general periodic coefficients. It is well-known that these equations are conditionally oscillatory, i.e., there exists a border value given by their coefficients which separates oscillatory equations from non-oscillatory ones. In this paper, we study oscillatory properties in the border case. More precisely, we prove that the considered equations are non-oscillatory in this case. Our results cover the situation when the periodic coefficients do not have any common period.

引用

页码：1 / 21

页数：21

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