| 非局部条件下脉冲微分方程的适度解 |
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| 引用本文： | 嵇绍春,李刚.非局部条件下脉冲微分方程的适度解[J].扬州大学学报(自然科学版),2010,13(1). |
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| 作者姓名： | 嵇绍春 李刚 |
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| 作者单位： | 1. 淮阴工学院数理学院,江苏淮安223003;扬州大学数学科学学院,江苏扬州225002
2. 扬州大学数学科学学院,江苏扬州,225002 |
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| 基金项目： | 淮阴工学院青年教师科研基金资助项目，国家自然科学基金资助项目 |
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| 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.
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| 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 |
Existence of mild solutions for impulsive differential equations with nonlocal conditions |
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| JI Shao-chun,LI Gang.Existence of mild solutions for impulsive differential equations with nonlocal conditions[J].Journal of Yangzhou University(Natural Science Edition),2010,13(1). |
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| Authors: | JI Shao-chun LI Gang |
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| Institution: | JI Shao-chun1,2*,LI Gang2(1.Fac of Math & Phys,Huaiyin Inst of Tech,Huaian 223003,China,2.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China) |
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| Abstract: | 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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| Keywords: | impulsive differential equations nonlocal conditions Hausdoff measure of noncompactness fixed-point mild solution |
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