Modification of adapted Riccati equation and oscillation of linear and half-linear difference equations

被引：5
|
作者：
Hasil, P. [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 | 2023年 / 141卷
关键词：
Riccati technique; Riccati equation; Half -linear equation; Linear difference equation; Oscillation; NONOSCILLATION THEOREMS; CRITERIA;
D O I：
10.1016/j.aml.2023.108632
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Applying a modification of the adapted Riccati technique, we introduce a new type of oscillation criteria for generalizations of the Euler half-linear difference equation. Our main criterion is new in many cases. This fact is documented by corollaries and examples. In particular, we obtain new results for linear equations.(c) 2023 Elsevier Ltd. All rights reserved.
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页数：8
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