Electron. J. Diff. Eqns., Vol. 2006(2006), No. 34, pp. 1-8.

Existence of positive periodic solutions for neutral functional differential equations Zhixiang Li, Xiao Wang

Abstract:
We find sufficient conditions for the existence of positive periodic solutions of two kinds of neutral differential equations. Using Krasnoselskii's fixed-point theorem in cones, we obtain results that extend and improve previous results. These results are useful mostly when applied to neutral equations with delay in bio-mathematics.

Submitted October 25, 2005. Published March 17, 2006.
Math Subject Classifications: 34C25.
Key Words: Positive periodic solution; cone; neutral delay differential equation; fixed-point theorem

An addendum was posted on April 17, 2007. The proof of the manin result is incorrect because the two sets $\omega_1$ and $\omega_2$ are not open in the Banach space $X$.

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 Zhixiang Li Department of Mathematics and System Science Science School, National University of Defense Technology Changsha, 410073, China email: zhxli02@yahoo.com.cn Xiao Wang Department of Mathematics and System Science Science School, National University of Defense Technology Changsha, 410073, China email: wxiao_98@yahoo.com.cn