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.


34C25 Periodic solutions to ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
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