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二阶脉冲微分方程组四点边值问题非负解的存在性 被引量：2

Existence of nonnegative solutions of four-point boundary value problem for second-order system of impulsive differential equations
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摘要 运用Leggett-Williams不动点定理,研究了二阶脉冲微分方程组四点边值问题非负解的存在性,得到了边值问题3个非负解存在的充分条件. Based on Leggett-Williams fixed-point theorem,the existence of nonnegative solutions of four-point boundary value problem for second-order system of impulsive differential equations was studied.The sufficient conditions for the existence of three nonnegative solutions of the boundary value problem were presented.
作者 卢振花 刘锡平 沈立
机构地区 上海理工大学理学院
出处 《上海理工大学学报》 CAS 北大核心 2011年第2期179-183,共5页 Journal of University of Shanghai For Science and Technology
基金 上海市教育委员会科研创新项目(10ZZ93)
关键词 脉冲微分方程组 四点边值问题 非负解 不动点定理 system of impulsive differential equations four-points boundary value problem nonnegative solutions fixed-point theorem
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献6

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二级参考文献13

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共引文献6

同被引文献23

  • 1Tian Yu,Ge Weigao. Multiple solutions of impulsive Sturm-Liouville boundary value problem via lower and upper solutions and variational methods[J].{H}Journal of Mathematical Analysis and Applications,2012,(02):475-489.
  • 2Ahmad B,Nieto J J. Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions[J].Nonlinear Anal,2008,(10):3291-3298.doi:10.1016/j.na.2007.09.018.
  • 3Podlubny I. Fractional differential equations[M].{H}San Diego:Academic Press,1999.
  • 4Kilbas A A,Srivastava H M,Trujillo J J. Theory and applications of fractional differential equations[M].San Diego:Elsevier Science Ltd,2006.
  • 5陈文;孙洪广;李西成.力学与工程问题的分数阶导数建模[M]{H}北京:科学出版社,2010.
  • 6Wang Guotao,Ahmad B,Zhang Lihong. Impulsive antiperiodic boundary value problem for nonlinear differential equations of fractional order[J].Nonlinear Anal,2011,(03):792-804.
  • 7AhmadB. Sivasundaram S.Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations[J].Nonlinear Anal Hybrid Systems,2009,(03):251-258.
  • 8Jia Mei,Liu Xiping. Three nonnegative solutions for fractional differential equations with integral boundary conditions[J].{H}Computers & Mathematics with Applications,2011,(03):1405-1412.
  • 9Liu Xiping,Jia Mei. Multiple solutions for fractional differential equations with nonlinear boundary conditions[J].{H}Computers & Mathematics with Applications,2010,(08):2880-2886.
  • 10孙经先.非线性泛函分析及其应用[M]{H}北京:科学出版社,2008.

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上海理工大学学报
2011年 第2期

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