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| 时标上一阶脉冲方程的周期边值问题 | |
| 引用本文： | 尚仲平,金燕,鲁淑霞.时标上一阶脉冲方程的周期边值问题[J].河北大学学报(自然科学版),2011,31(4):341-347. |
| 作者姓名： | 尚仲平 金燕 鲁淑霞 |
| 作者单位： | 1. 燕山大学职业技术学院,河北秦皇岛,066004 2. 燕山大学理学院,河北秦皇岛,066004 3. 河北大学数学与计算机学院,河北保定,071002 |
| 基金项目： | 河北省自然科学基金项目，河北省教育厅科学技术研究计划 |
| 摘 要： | 针对时标上一类一阶脉冲方程的周期边值问题,该论文基于算子不动点原理、上下解方法和单调迭代技巧,给出了周期边值问题解存在性的充分条件,并举例加以验证了主要结果. |
| 关 键 词： | 时标 周期边值问题 脉冲方程 上下解方法 单调迭代技巧 |
Periodic Boundary Value Problem for First-order Impulsive Functional Dynamic Equations |
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| SHANG Zhong-ping,JIN Yan,LU Shu-xia.Periodic Boundary Value Problem for First-order Impulsive Functional Dynamic Equations[J].Journal of Hebei University (Natural Science Edition),2011,31(4):341-347. | |
| Authors: | SHANG Zhong-ping JIN Yan LU Shu-xia |
| Institution: | 1.Vocational and Technical College,Yanshan University,Qinhuangdao 066004,China;2.College of Science,Yanshan University,Qinhuangdao 066004,China;3.College of Mathematics and Computer Science,Hebei University,Baoding 071002,China) |
| Abstract: | Based on the knowledge of operator fixed points,the upper and lower solution method and the monotone iterative technique,this paper presents some sufficient conditions for the existence of the periodic boundary value problem for first-order impulsive functional dynamic equations on time scales,an example is also given to illustrate the main results. |
| Keywords: | time scales Periodic boundary value problem impulsive equations lower and upper solution method monotone iterative technique |
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