| Banach空间中一类奇异脉冲微分方程边值问题多个正解的存在性 |
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| 引用本文： | 刘衍胜.Banach空间中一类奇异脉冲微分方程边值问题多个正解的存在性[J].系统科学与数学,2003,23(2):215-222. |
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| 作者姓名： | 刘衍胜 |
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| 作者单位： | 山东大学数学系,济南,250100;山东师范大学数学系,济南,250014 |
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| 基金项目： | 国家自然科学基金(10171057)及山东省青年科学家奖励基金资助课题. |
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| 摘 要： | 利用锥拉伸及锥压缩不动点定理,研究了Banach空间中一类带奇异性的脉冲微分方程边值问题多个正解的存在性.
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| 关 键 词： | 奇异边值问题 锥 多重正解. |
| 修稿时间： | 2000年10月19 |
THE MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR BOUNDARY VALUE PROBLEM OF IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACE |
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| Yan Sheng LIU.THE MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR BOUNDARY VALUE PROBLEM OF IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACE[J].Journal of Systems Science and Mathematical Sciences,2003,23(2):215-222. |
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| Authors: | Yan Sheng LIU |
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| Institution: | Department of Mathematics, Shandong University, Jinan 250100,P.R.China; Department of Mathematics, Shandong Normal University, Jinan 250014,P.R.China |
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| Abstract: | Using the fixed point theorem in cone, this paper deals with the existence of multiple positive solutions for a class of singular boundary value problems of impulsive differential equations in Banach space. Some examples are given to show the applications of our result. |
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| Keywords: | Singular boundary value problem cone multiple positive solution |
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