Oscillation of linear and half-linear differential equations via generalized Riccati technique

被引：4

作者：

Hasil, Petr ^{[1
]}

Vesely, Michal ^{[1
]}

机构：

[1] Masaryk Univ, Fac Sci, Dept Math & Stat, Kotlarska 2, Brno 61137, Czech Republic

来源：

REVISTA MATEMATICA COMPLUTENSE | 2022年 / 35卷 / 03期

关键词：

Half-linear equation; Linear equation; Riccati equation; Oscillation; Riccati technique; CONDITIONAL OSCILLATION; DYNAMIC EQUATIONS; EULER-TYPE; NONOSCILLATION THEOREMS; PRUFER ANGLE; CRITERIA;

D O I：

10.1007/s13163-021-00407-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyse the oscillation of second-order half-linear differential equations whose coefficients are given by the products of (typically bounded) functions and power functions. Applying the generalized Riccati technique, we find a very general oscillation criterion for the studied equations. This criterion covers several half-linear equations with unbounded non-power parts of coefficients, but it is new also for linear equations with bounded non-power parts. This fact is appropriately documented by new corollaries.

引用

页码：835 / 849

页数：15

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