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非局部条件下脉冲微分方程的适度解
  • 期刊名称：扬州大学学报(自然科学版)
  • 时间：0
  • 页码：13-16-
  • 分类：O175.15[理学—数学;理学—基础数学]
  • 作者机构：[1]淮阴工学院数理学院,江苏淮安223003, [2]扬州大学数学科学学院,江苏扬州225002
  • 相关基金：淮阴工学院青年教师科研基金资助项目（HGC0929）;国家自然科学基金资助项目（10971182）
  • 相关项目：Banach空间上非线性算子半群与非线性微分包含及其应用
作者： 嵇绍春|李刚|
关键词： 脉冲微分方程, 非局部条件, Hausdoff非紧测度, 不动点, 适度解, impulsive differential equations, nonlocal conditions, Hausdoff measure of noncompactness, fixed-point, mild solution
中文摘要：

讨论非局部条件下脉冲微分方程适度解的存在性，通过考察分段连续函数空间PC（[0，b]；X）上非紧测度的性质，利用Hausdoff非紧测度和不动点的方法给出非紧半群条件下适度解存在的充分条件，改进和推广了这一领域的相关结果．

英文摘要：

This paper is concerned with the existence of mild solutions for impulsive differential equations with nonlocal conditions. By measuring the noncompactness in the space of piecewise continuous functions using the techniques of fixed-point theory and measuring the noncompactness, the existence results are obtained without the compactness of semigroup. It improves and generalizes some previous results in this area.

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Banach空间上非线性算子半群与非线性微分包含及其应用
期刊论文 46
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