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2009 Existence and Uniqueness of Periodic Solutions of Mixed Monotone Functional Differential Equations
Shugui Kang, Sui Sun Cheng
Abstr. Appl. Anal. 2009: 1-13 (2009). DOI: 10.1155/2009/162891

Abstract

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(tτ(t)))+f2(t,y(tτ(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.

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Shugui Kang. Sui Sun Cheng. "Existence and Uniqueness of Periodic Solutions of Mixed Monotone Functional Differential Equations." Abstr. Appl. Anal. 2009 1 - 13, 2009. https://doi.org/10.1155/2009/162891

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1187.34090
MathSciNet: MR2539908
Digital Object Identifier: 10.1155/2009/162891

Rights: Copyright © 2009 Hindawi

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