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《山东大学学报(理学版)》 ›› 2021, Vol. 56 ›› Issue (12): 40-44.doi: 10.6040/j.issn.1671-9352.0.2021.145

• • 上一篇    

一类非线性阻尼分数阶微分方程的振动条件

罗李平,曾云辉,罗振国   

  1. 衡阳师范学院数学与统计学院, 湖南 衡阳 421002
  • 发布日期:2021-11-25
  • 作者简介:罗李平(1964— ),男,教授,硕士生导师,研究方向为分数阶微分方程振动性理论. E-mail:stxyluolp@163.com
  • 基金资助:
    湖南省自然科学基金资助项目(2019JJ40004);湖南省教育厅重点资助项目(20A063);湖南省“双一流”应用特色学科(数学)资助项目(湘教通［2018］469号)

Oscillation conditions of certain nonlinear damped fractional differential equations

LUO Li-ping, ZENG Yun-hui, LUO Zhen-guo   

  1. College of Mathematics and Statistics, Hengyang Normal University, Hengyang 421002, Hunan, China
  • Published:2021-11-25

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摘要： 利用积分平均技巧和Riccati变换,获得了一类带阻尼项的非线性分数阶微分方程所有解振动的若干新的充分判据,并通过例子阐述主要结果的有效性。

关键词: 振动性, 分数阶微分方程, 阻尼项, 积分平均技巧, Riccati变换

Abstract: By using integral averaging technique and Riccati transformations, some new sufficient criteria are obtained for oscillation of solutions of a class of nonlinear fractional differential equations with damping term. Some examples are provided to illustrate the relevance of the main results.

Key words: oscillation, fractional differential equation, damping term, integral averaging technique, Riccati transformation

中图分类号: 

  • O175.12
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