| 时标上二阶脉冲动态方程的非局部边值问题 |
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| 引用本文： | 钟文勇,阮炯. 时标上二阶脉冲动态方程的非局部边值问题[J]. 复旦学报(自然科学版), 2009, 48(2): 245-252,259 |
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| 作者姓名： | 钟文勇 阮炯 |
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| 作者单位： | 吉首大学数学与计算机科学学院,吉首416000;复旦大学数学科学学院,上海200433;复旦大学数学科学学院,上海,200433 |
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| 摘 要： | 研究时标上二阶脉冲动态方程的非局部边值问题,利用两个算子和的不动点定理,得到了非局部边值问题至少存在一个解的充分条件,并且通过例子说明了定理的有效性.
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| 关 键 词： | 时标 脉冲动态方程 非局部边值问题 不动点 |
Nonlocal Boundary Value Problem for Second Order Impulsive Dynamic Equations on Time Scales |
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| ZHONG Wen-yong,,RUAN Jiong. Nonlocal Boundary Value Problem for Second Order Impulsive Dynamic Equations on Time Scales[J]. Journal of Fudan University(Natural Science), 2009, 48(2): 245-252,259 |
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| Authors: | ZHONG Wen-yong RUAN Jiong |
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| Affiliation: | 1.School of Mathematics and Computer Sciences;Jishou University;Jishou 416000;China;2.School of Mathematical Sciences;Fudan University;Shanghai 200433;China |
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| Abstract: | It deals with the study of nonlocal boundary value problem for the second order impulsive dynamic equations on time scales.Using fixed-point theorem for the sum of two operators,some suffcient conditions are obtained to guarantee the existence of at least one solution of the equations.Moreover,some examples are given to illustrate the effectiveness of the results. |
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| Keywords: | time scales impulsive dynamic equations nonlocal boundary value problems fixed point |
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