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一类分数阶脉冲微分方程边值问题的多重正解 被引量：2

Multiple Positive Solutions for a Class of Boundary Value Problem of Impulsive Fractional Differential Equations
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摘要 通过锥拉伸与锥压缩不动点定理,得到了一类非线性分数阶脉冲微分方程边值问题正解的存在性和多重性结果。 We investigate the multiple positive solutions for a boundary value problem of nonlinear impulsive fractional differential equations. The arguments are based upon the fixed point theorem of cone expansion and compression with norm type.
作者 张爱华 胡卫敏
机构地区 伊犁师范学院数学与统计学院
出处 《济南大学学报（自然科学版）》 CAS 北大核心 2014年第3期235-240,共6页 Journal of University of Jinan(Science and Technology)
基金 新疆维吾尔自治区自然科学基金(201318101-14)
关键词 脉冲微分方程 边值问题 不动点定理 分数阶导数 impulsive differential equation boundary value problem fixed-point theorem fractional derivative
分类号 O175.8 [理学—基础数学]
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参考文献16

  • 1LIU X N,CHEN L S.Global dynamics of the periodic logistic sys-tem with periodic impulsive perturbations [ J ].Journal of mathemat-ical analysis and applications,2004,289(1):279-291.
  • 2BALLINGER G,LIU X.Permanence of population growth modelswith impulsive effects[J].Mathematical and Computer Modelling,1997,26(12):59-72.
  • 3郭大钧.MULTIPLE POSITIVE SOLUTIONS FOR FIRST ORDER IMPULSIVE SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS ON THE HALF LINE[J].Acta Mathematica Scientia,2012,32(6):2176-2190. 被引量：7
  • 4DING W,WANG Y.New result for a class of impulsive differential equation with integral boundary conditions[J].Commun Nonlinear Sci Numer Simulat,2013,18(5):1095-1105.
  • 5WANG X H,ZHANG J H.Impulsive anti-periodic boundary value problem of firstorder integrodifferential equations [ J ].Journal of Computational and Applied Mathematics,2010,234(12):3261-3267.
  • 6WANG G T,AHMAD B,ZHANG L H.Impulsive anti-periodic boundary value problem for nonlinear differential equations of' frac-tional order [ J ].Nonlinear Analysis,2011,74(3):792-804.
  • 7CAO J X,CHEN H B.Impulsive fractional differential equations with nonlinear boundary conditions [ J ].Mathematical and Comput-er Modelling,2012,55(3):303-311.
  • 8GUO T L,JIANG W.Impulsive problems for fractional differential equations with boundary value conditions [ J ].Computers and Mathematics with Applications,2012,64(10):3281-3291.
  • 9LI X P,CHEN F L,LI X Z.Generalized anti-periodic boundary value problems of impulsive fractional differential equations [ J ].Commun Nonlinear Sci Numer Simulat,2013,18(1):28-41.
  • 10IJU Z H,LI X W.Existence and uniqueness of solutions for the nonlinear impulsive fractional differential equations[J].Commun Nonlinear Sci Numer Simulat,2013,18(16):1362-1373.

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共引文献20

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济南大学学报（自然科学版）
2014年 第3期

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