# Dynamic Behavior of a Logistic Type Equation with Infinite Delay

Original Papers

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DOI: 10.1007/s10255-006-0307-6

- Cite this article as:
- Chen, F. & Shi, C. Acta Mathematicae Applicatae Sinica, English Series (2006) 22: 313. doi:10.1007/s10255-006-0307-6

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**Abstract**

A non-autonomous Logistic type equation with infinite delay is investigated. For general nonautonomous case, sufficient conditions which guarantee the uniform persistence and globally attractivity of the system are obtained; For almost periodic case, by means of a suitable Lyapunov functional, sufficient conditions are derived for the existence and uniqueness of almost periodic solution of the system. Some new results are obtained.

**Keywords**

Logistic type equationinfinite delayLyapunov functionalexistenceuniquenessalmost periodic solution**2000 MR Subject Classification**

34C2592D2534D2034D40## Copyright information

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