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超线性阻尼分数阶微分方程的振动性定理

Oscillation Theorems for Superlinear Damped FractionalDifferential Equations

中文摘要英文摘要

本文讨论了含α-阶Riemann-Liouville 分数阶导数的超线性分数阶阻尼微分方程的振动性问题。在比较一般的条件下,得到了一些新的振动性定理,所采用的方法有别于以前文献 [D.X.Chen, oscillation criteria of fractional differential equations, Advances in Difference equations,33(2012),1-10]给出的方法。并给出实例说明结果的重要性。

In this paper, the oscillation of the superlinear dampedfractional differential equation with Riemann-Liouville fractional derivative of order α∈(0,1) is considered.Several new oscillation criteria are established under quite general assumptions. Our methodology is somewhat different from that of previous author [D.X.Chen, oscillation criteria of fractional differential equations, Advances in Difference equations,33(2012),1-10]. Example is also given to illustrate the results.

孟凡伟、邵晶

数学

分数阶微分方程超线性振动性

Fractional differential equation superlinear Oscillation.

孟凡伟,邵晶.超线性阻尼分数阶微分方程的振动性定理[EB/OL].(2013-12-30)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201312-1079.点此复制

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