| 二阶脉冲微分方程m点边值问题的正解 |
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| 引用本文： | 索秀云,郭少聪,张素芬,郭彦平.二阶脉冲微分方程m点边值问题的正解[J].河北科技大学学报,2011,32(6):519-523. |
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| 作者姓名： | 索秀云 郭少聪 张素芬 郭彦平 |
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| 作者单位： | 1. 河北科技大学理学院,河北石家庄,050018
2. 石家庄市信息工程职业学院计算机应用系,河北石家庄,050035 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金 |
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| 摘 要： | 利用Leggett-Williams不动点定理,研究一类二阶脉冲微分方程非局部(m点)边值问题正解的存在性.在某些条件下,得到了它至少存在3个正解u1,u2,u3,使得‖u1‖＜d,a＜a(u2)且‖u3‖≥d,a(u3)≤a.
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| 关 键 词： | 正解 m点边值问题 Leggett-Williams不动点定理 |
| 收稿时间： | 2011/9/29 0:00:00 |
Positive solutions to m-point boundary value problems of second order impulsive differential equations |
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| SUO Xiu-yun,GUO Shao-cong,ZHANG Su-fen and GUO Yan-ping.Positive solutions to m-point boundary value problems of second order impulsive differential equations[J].Journal of Hebei University of Science and Technology,2011,32(6):519-523. |
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| Authors: | SUO Xiu-yun GUO Shao-cong ZHANG Su-fen and GUO Yan-ping |
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| Institution: | 1. College of Sciences, Hebei University of Science and Technology, Shijiazhuang Hebei 050018, China; 2. Appllied Computer Department, Shijiazhuang Information Engineering Vocational College, Shijiazhuang Hebei 050035, China) |
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| Abstract: | By using the Leggett-williams fixed point theorem, this paper studies the existence of positive solutions to m-point boundary value problems of the second order impulsive differential equations. In some conditions, it shows that the above problem has at least three positive solutions u1 ,u2 and so that ｜｜ U1 ｜｜ 〈d,a〈a（u2） and ｜｜ u3 ｜｜ ≥d, a（u3） ≤a. |
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| Keywords: | positive solution m-point boundary value problem Leggett-Williams fixed point theorem |
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