Multiple positive solutions of a singular fractional differential equation with negatively perturbed term

Multiple positive solutions of a singular fractional differential equation with negatively perturbed term
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具有负扰动项的奇异分数阶微分方程的多个正解

DOI:
10.1016/j.mcm.2011.10.006
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发表时间:
2012-02
影响因子:
--
通讯作者:
Wu, Yonghong
Wu, Yonghong
中科院分区:
--
文献类型:
--
作者:
Zhang, Xinguang;Liu, Lishan;Wu, Yonghong

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设D0+α是标准的黎曼-刘维尔导数。讨论了一类带负扰动项的分数阶常微分方程解的存在性,其中2<α≤3为实数,扰动项Q:(0,1)→[0,+∞)是勒贝格可积的,并且在[0,1]的某个零测点处可能是奇异的,这意味着非线性项可以变号.
Let D0+αbe the standard Riemann–Liouville derivative. We discuss the existence of multiple positive solutions for the following fractional differential equation with a negatively perturbed term where 2<α≤3 is a real number, the perturbed term q:(0,1)→[0,+∞) is Lebesgue integrable and may be singular at some zero measures set of [0,1], which implies the nonlinear term may change sign.
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