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Positive periodic solutions of impulsive functional differential equations |
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| Authors: | Yuji Liu Jianye Xia Weigao Ge |
| Institution: | 1. Department of Applied Mathematics, Hunan Institute of Science and Technology, 414000, Hunan, P. R. China 2. Department of Mathematics, Beijing Institue of Technology, 100081, Beijing, P. R. China 3. Department of Mathematics, Guangdong College of Finance, Guangzhou, P. R. China |
| Abstract: | We study the existence and nonexistence of positive periodic solutions of a non-autonomous functional differential equation with impulses. The equations we study may be of delay, advance or mixed type functional differential equations and the impulses may cause the existence of positive periodic solutions. The methods employed are fixed-point index theorem, Leray-Schauder degree, and upper and lower solutions. The results obtained are new, and some examples are given to illustrate our main results. |
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