| 具偏差变元的脉冲时滞微分方程的周期解 |
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| 引用本文： | 梁京成,何延生.具偏差变元的脉冲时滞微分方程的周期解[J].延边大学理工学报,2011(4):298-302,333. |
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| 作者姓名： | 梁京成 何延生 |
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| 作者单位： | 延边大学理学院数学系,吉林延吉133002 |
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| 基金项目： | 国家自然科学基金资助项目（11161049） |
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| 摘 要： | 利用Mawhin重合度理论，研究了一类具偏差变元的脉冲时滞微分方程的周期解问题，得到了该类方程存在周期解的充分性条件，推广了文献4—5]的主要结果．文中的结果也适用于相应的非脉冲微分方程．
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| 关 键 词： | 偏差变元 周期解 脉冲 莺合度理论 |
Periodic Solutions for Impulsive Differential Equation with Delays and Deviating Arguments |
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| LIANG Jing-cheng,HE Yan-sheng.Periodic Solutions for Impulsive Differential Equation with Delays and Deviating Arguments[J].Journal of Yanbian University (Natural Science),2011(4):298-302,333. |
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| Authors: | LIANG Jing-cheng HE Yan-sheng |
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| Affiliation: | ( Department of Mathematics, College of Science, Yanbian University, Yanji 133000, China ) |
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| Abstract: | By using coincidence degree theory of Mawhin, we studied a kind of periodic solutions of the impulsive differential equation with delays and deviating arguments. Some sufficient conditions for existence of periodic solutions are obtained. The results improve the works in 4-5], and it also can apply to the corresped- ing non-impulsive differential equations. |
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| Keywords: | deviating argument periodic solution impulse theory of coincidence degree |
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