数学理论与应用 ›› 2018, Vol. 38 ›› Issue (1-2): 1-11.
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刘翠玲，张兴永
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Existence of Solutions to Class of p-Laplace Fractional
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摘要：
本文利用山路引理研究一类p-Laplace分数阶脉冲常微分系统解的存在性问题.在非线性项满足超p 次增长的条件下,证明系统至少有一个非平凡解.
关键词: 分数阶常微分系统, p-Laplace, 山路引理 , 脉冲
Abstract: In this paper we investigate the existence of solutions to a class of p-Laplace fractional impulsive ordinary differential system.By using the mountain pass theorem, we show that the system has at least one nontrivial solution if its nonlinear term possesses a super-p-growth rate.
Key words: Fractional ordinary differential systems, p-Laplace , Mountain pass theorem, Impulsive effect
Fractional ordinary differential systems,
刘翠玲, 张兴永. 一类p-Laplace分数阶脉冲常微分系统解的存在性[J]. 数学理论与应用, 2018, 38(1-2): 1-11.
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http://mta.csu.edu.cn/CN/Y2018/V38/I1-2/1
