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Banach空间中二阶脉冲微分方程边值问题极解的存在性 被引量：1

Existence of Extremal Solutions to Boundary Value Problems of Impulsive Differential Equations in Banach Spaces
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摘要 采用上下解方法和单调迭代技巧研究Banach空间中二阶脉冲微分方程边值问题,并建立其极大解和极小解的存在性定理. A monotone iterative technique in the presence of lower and upper solutions is used to discuss the existence to the boundary value problems of impulsive differential equations in a Banach space. Under wide monotone conditions and the noncompactness measure condition of nonlinearity and impulsive function, we obtain the existence of extreme solutions between lower and upper solutions.
作者 范虹霞
机构地区 兰州交通大学数理与软件工程学院
出处 《兰州交通大学学报》 CAS 2012年第3期154-157,共4页 Journal of Lanzhou Jiaotong University
关键词 脉冲微分方程 边值问题 锥 上下解 非紧性测度 impulsive differential equation boundary value problem cone lower and upper solution measure of noncompactness
分类号 O175.8 [理学—基础数学]
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参考文献13

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兰州交通大学学报
2012年 第3期

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