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PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Published online by Cambridge University Press:  24 March 2003

LIANGLONG WANG ,
ZHICHENG WANG  and
XINGFU ZOU
LIANGLONG WANG
Affiliation:
Department of Applied Mathematics, Hunan University, Changsha, Hunan, China 410082; [email protected]
ZHICHENG WANG
Affiliation:
Department of Applied Mathematics, Hunan University, Changsha, Hunan, China 410082; [email protected]
XINGFU ZOU
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St John's, NF, Canada A1C 5S7; [email protected]
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Abstract

Periodic neutral functional differential equations are considered. Sufficient conditions for existence, uniqueness and global attractivity of periodic solutions are established by combining the theory of monotone semiflows generated by neutral functional differential equations and Krasnosel'skii's fixed-point theorem. These results are applied to a concrete neutral functional differential equation that can model single-species growth, the spread of epidemics, and the dynamics of capital stocks in a periodic environment.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 65 , Issue 2 , April 2002 , pp. 439 - 452
Copyright
The London Mathematical Society, 2002

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