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Periodic Solutions of Neutral Functional Differential Equations |
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| Authors: | Wang Lianglong; Wang Zhicheng; Zou Xingfu |
| Institution: | Department of Applied Mathematics, Hunan University Changsha, Hunan, China 410082 Department of Applied Mathematics, Hunan University Changsha, Hunan, China 410082, zcwang{at}mail.hunu.edu.cn Department of Mathematics and Statistics, Memorial University of Newfoundland St John's, NF, Canada A1C 5S7, xzou{at}math.mun.ca |
| Abstract: | Periodic neutral functional differential equations are considered.Sufficient conditions for existence, uniqueness and global attractivityof periodic solutions are established by combining the theoryof monotone semiflows generated by neutral functional differentialequations and Krasnosel'skii's fixed-point theorem. These resultsare applied to a concrete neutral functional differential equationthat can model single-species growth, the spread of epidemics,and the dynamics of capital stocks in a periodic environment. |
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