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二阶脉冲微分方程积分边值问题多个非负解的存在性 被引量：3

Multiple Nonnegative Solutions of Boundary Value Problems for the Second Order Impulsive Differential Equation with Integral Boundary Conditions
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摘要 利用不动点定理,通过构造3个泛函,研究一类非线性项中含有一阶导数的二阶脉冲微分方程积分边值问题多个非负解的存在性.在较弱的条件下,得到了该脉冲边值问题具有3个非负解的多解定理. With the aid of the fixed point theorem in a cone,we studied the existence of multiple nonnegative solutions to a type of the boundary value problems of second-order impulsive differential equations with integral boundary conditions and with the nonlinear term containing the first-order derivative by constructing three functional.The theorem for the existence of at least three nonnegative solutions was obtained under the weaker conditions.
作者 贾梅 刘锡平
机构地区 上海理工大学理学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2011年第4期594-600,共7页 Journal of Jilin University:Science Edition
基金 上海市教委科研创新基金重点项目(批准号:10ZZ93)
关键词 脉冲 边值问题 积分边界条件 不动点定理 非负解 impulse boundary value problems integral boundary conditions fixed point theorem nonnegative solutions
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献15

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二级参考文献11

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共引文献7

同被引文献37

  • 1谢胜利.Banach空间二阶非线性脉冲积分-微分方程初值问题[J].数学物理学报（A辑）,2007,27(1):138-145. 被引量：13
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引证文献3

二级引证文献8

吉林大学学报（理学版）
2011年 第4期

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