Periodic solutions of neutral differential models with state-dependent delay and feedback control
β Scribed by Zhihui Yang
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 184 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.861
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β¦ Synopsis
Abstract
In this paper, the author employs and develops the continuation theory and degree theory for kβset contractions to investigate the existence of positive periodic solutions of a general neutral functional system with feedback control stateβdependent and distributed delays. The results give new methods for studying neutral systems, which extend and improve existing results, and have further applications in many fields such as population dynamics. Copyright Β© 2007 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
## Communicated by M. Grinfeld A single population growth model with stage-structured and state-dependent impulsive control is proposed. By using the PoincarΓ© map and the analogue of PoincarΓ©'s criterion, we prove the existence and the stability of positive order-1 or order-2 periodic solution. Mo