Abstract
In this paper we establish three different existence results for periodic solutions for a class of first-order neutral differential equations. The first one is based on a generalized version of the POINCARE-BIRKHOFF fixed point theorem where we establish conditions on f which guarantee that a first-order neutral differential equations has infinitely many periodic solutions. The second one is based on MAWHINS continuation theorem and the third one is based on KRASNOSELSKII fixed point theorem.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 147-158 |
| Number of pages | 12 |
| Journal | APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS |
| Volume | 5 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Apr 2011 |
Keywords
- First-order neutral differential equations
- Generalized Poincare-Birkhoff fixed point theorem
- Infinite periodic solutions
- Krasnoselskii fixed point theorem
- Mawhin's continuation theorem
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Guo, CJ,O'Regan, D,Agarwal, RP