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Acta Mathematicae Applicatae Sinica
, Volume 22, Issue 2, pp 313324
Dynamic Behavior of a Logistic Type Equation with Infinite Delay
 Fengde ChenAffiliated withCollege of Mathematics and Computer Science, Fuzhou University Email author
 , Chunling ShiAffiliated withCollege of Mathematics and Computer Science, Fuzhou University
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A nonautonomous 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 equation infinite delay Lyapunov functional existence uniqueness almost periodic solution2000 MR Subject Classification
34C25 92D25 34D20 34D40 Title
 Dynamic Behavior of a Logistic Type Equation with Infinite Delay
 Journal

Acta Mathematicae Applicatae Sinica
Volume 22, Issue 2 , pp 313324
 Cover Date
 200604
 DOI
 10.1007/s1025500603076
 Print ISSN
 01689673
 Online ISSN
 16183932
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Logistic type equation
 infinite delay
 Lyapunov functional
 existence
 uniqueness
 almost periodic solution
 34C25
 92D25
 34D20
 34D40
 Authors

 Fengde Chen ^{(1)}
 Chunling Shi ^{(1)}
 Author Affiliations

 1. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, China