Yongkun Li, Xiaoyan Dou, Jianwen Zhou
Abstract:
Let
be a periodic time scale. We use Krasnoselskii's
fixed point theorem to show that the neutral functional differential
equation with impulses
has a periodic solution. Under a slightly more stringent conditions
we show that the periodic solution is unique using the contraction
mapping principle.
Submitted August 22, 2011 Published April 10, 2012.
Math Subject Classifications: 34N05, 34K13, 34K40, 34K45.
Key Words: Positive periodic solution; neutral functional differential
equations; impulses; Krasnoselskii fixed point; time scales.
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Yongkun Li Department of Mathematics, Yunnan University Kunming, Yunnan 650091, China email: yklie@ynu.edu.cn | |
Xiaoyan Dou Department of Mathematics, Yunnan University Kunming, Yunnan 650091, China email: douxy21@163.com | |
Jianwen Zhou Department of Mathematics, Yunnan University Kunming, Yunnan 650091, China email: zhoujianwen2007@126.com |
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