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 |
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