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
收藏
页码：835 / 849
页数：15
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