| Volterra型线性微分积分方程周期解 |
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| 引用本文： | 王新奇,王明建.Volterra型线性微分积分方程周期解[J].科学技术与工程,2011,11(1). |
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| 作者姓名： | 王新奇 王明建 |
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| 作者单位： | 1. 西安文理学院,学报编辑部,西安,710065
2. 郑州师范学院,数学系,郑州,450044 |
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| 摘 要： | 构造了Volterra型线性微分积分方程和线性积分方程的反例,从而说明Burton的某些结果是不成立的。在此基础上,解决了Burton提出的关于Volterra型线性积分方程和线性微分积分方程周期解的渐近稳定性的一个问题。
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| 关 键 词： | 线性微分积分方程 线性积分方程 周期解 不稳定性 |
| 收稿时间： | 9/13/2010 5:21:29 PM |
| 修稿时间： | 9/13/2010 5:21:29 PM |
Structure of Counter-Examples to Volterra Type Linear Integro-Differentia Equations and Instability of Periodic Solutions |
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| WANGXINQI and WANGMINGJIAN.Structure of Counter-Examples to Volterra Type Linear Integro-Differentia Equations and Instability of Periodic Solutions[J].Science Technology and Engineering,2011,11(1). |
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| Authors: | WANGXINQI and WANGMINGJIAN |
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| Institution: | Department of Mathematics, Zhengzhou Normal University |
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| Abstract: | A linear integral-differential equation and a linear integral equation,namely,structure of two counter-examples with infinite periodic solutions are given for illustrating some results of Burton to be false.And then,the asymptotic stability of the solutions to linear integral equation and a linear integral-differential equation as proposed by Burton as an open issue is solved. |
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| Keywords: | integral equations integral-differential equation periodic solutions instability |
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