Open Access
2007 Existence and Uniqueness of Positive Periodic Solutions for a Class of Differential Delay Equations
Min-Jei Huang, Duo-Yuan Chen
J. Math. Kyoto Univ. 47(4): 849-857 (2007). DOI: 10.1215/kjm/1250692293

Abstract

The existence of a unique positive periodic solution for the differential delay equation $x'(t) = -a(t)x(t) + b(t)f (x(t - c(t)))$ is established. Our method is based on Hilbert’s projective metric and the contraction mapping principle.

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Min-Jei Huang. Duo-Yuan Chen. "Existence and Uniqueness of Positive Periodic Solutions for a Class of Differential Delay Equations." J. Math. Kyoto Univ. 47 (4) 849 - 857, 2007. https://doi.org/10.1215/kjm/1250692293

Information

Published: 2007
First available in Project Euclid: 19 August 2009

zbMATH: 1156.34052
MathSciNet: MR2413069
Digital Object Identifier: 10.1215/kjm/1250692293

Subjects:
Primary: 34K13

Rights: Copyright © 2007 Kyoto University

Vol.47 • No. 4 • 2007
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