Existence and Uniqueness of Periodic Solutions of Mixed Monotone Functional Differential Equations

This paper deals with the existence and uniqueness of periodic solutions for the first-order functional differential equation y′(t)=−a(t)y(t)+f1(t,y(t−τ(t)))+f2(t,y(t−τ(t))) with periodic coefficients and delays. We choose the mixed monotone operator theory to approach our problem because such metho...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2009-01, Vol.2009 (1), p.115-127
Main Authors: Kang, Shugui, Cheng, Sui Sun
Format: Article
Language:English
Subjects:
Banach spaces
Mathematical models
Science
Studies
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Summary:This paper deals with the existence and uniqueness of periodic solutions for the first-order functional differential equation y′(t)=−a(t)y(t)+f1(t,y(t−τ(t)))+f2(t,y(t−τ(t))) with periodic coefficients and delays. We choose the mixed monotone operator theory to approach our problem because such methods, besides providing the usual existence results, may also sometimes provide uniqueness as well as additional numerical schemes for the computation of solutions.
ISSN:1085-3375
1687-0409
DOI:10.1155/2009/162891