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Existence and global attractivity of a positive periodic solution of a class of delay differential equation

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Abstract

The existence and the global attractivity of a positive periodic solution of the delay differential equationy(t)=y(t) F[t, y](t-τ 1 (t)),⋯,y(t−τ n (t))] are studied by using some techniques of the Mawhin coincidence degree theory and the constructing suitable Liapunov functionals. When these results are applied to some special delay bio-mathematics models, some new results are obtained, and many known results are improved.

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Authors and Affiliations

  1. Department of Mathematics, Yunnan University, 650091, Kunming, China

    Yongkun Li

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  1. Yongkun Li
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Project partially supported by the National Natural Science Foundation of China (Grant No. 10572057) and the Applied Basic Research Foundation of Yunnan Province.

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Li, Y. Existence and global attractivity of a positive periodic solution of a class of delay differential equation. Sci. China Ser. A-Math. 41, 273–284 (1998). https://doi.org/10.1007/BF02879046

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  • DOI: https://doi.org/10.1007/BF02879046

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