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浙江大学学报(理学版)  2021, Vol. 48 Issue (1): 35-40    DOI: 10.3785/j.issn.1008-9497.2021.01.005
数学与计算机科学     
一类带阻尼项非线性分数阶微分方程的振动性
曾文君, 李德生
沈阳师范大学 数学与系统科学学院,辽宁 沈阳 110034
Oscillation of a class of nonlinear fractional differential equations with damping term
ZENG Wenjun, LI Desheng
School of Mathematics and Systems Science, Shenyang Normal University,Shenyang 110034, China
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摘要: 研究一类带阻尼项非线性分数阶微分方程的振动性,利用Riccati变换和不等式技巧,得到了方程振动性的2个判定准则,并用例子验证了相关结果。
关键词: 振动性Riccati变换分数阶微分方程阻尼项    
Abstract: The oscillation of a class of nonlinear fractional differential equations with damping term is studied. Using Riccati transformation and inequality techniques, two criteria of the equation vibration are obtained, and examples are given to verify the relevant results.
Key words: damping term    Riccati transformation    oscillation    fractional differential equations
收稿日期: 2019-06-10 出版日期: 2021-01-20
CLC:  O 175  
作者简介: 曾文君(1994—),ORCID:http://orcid.org/0000-0001-5085-5478,女,硕士研究生,主要从事微分方程的振动性研;
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引用本文:

曾文君, 李德生. 一类带阻尼项非线性分数阶微分方程的振动性[J]. 浙江大学学报(理学版), 2021, 48(1): 35-40.

ZENG Wenjun, LI Desheng. Oscillation of a class of nonlinear fractional differential equations with damping term. Journal of Zhejiang University (Science Edition), 2021, 48(1): 35-40.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2021.01.005        https://www.zjujournals.com/sci/CN/Y2021/V48/I1/35

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