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。
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.
出处
《延边大学学报(自然科学版)》
CAS
2011年第4期298-302,333,共6页
Journal of Yanbian University(Natural Science Edition)
基金
国家自然科学基金资助项目(11161049)
关键词
偏差变元
周期解
脉冲
重合度理论
deviating argument
periodic solution
impulse
theory of coincidence degree