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**Massera-type theorem and asymptotically periodic Logistic equations.**
*(English)*
Zbl 1162.34325

Summary: Some important properties of asymptotically periodic functions are studied in this paper. Sufficient conditions of existence of globally stable asymptotically periodic solution are obtained. Then, Massera-Type theorems are discussed for one-dimensional, two-dimensional, higher-dimensional asymptotically periodic systems. Finally, global stability of periodic logistic equations and asymptotically periodic Logistic equations are considered, respectively.

### MSC:

34C25 | Periodic solutions to ordinary differential equations |

34D23 | Global stability of solutions to ordinary differential equations |

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\textit{G. Haiyin} et al., Nonlinear Anal., Real World Appl. 7, No. 5, 1268--1283 (2006; Zbl 1162.34325)

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### References:

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