𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Periodic solutions of neutral differential models with state-dependent delay and feedback control

✍ Scribed by Zhihui Yang


Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
184 KB
Volume
30
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

In this paper, the author employs and develops the continuation theory and degree theory for k‐set contractions to investigate the existence of positive periodic solutions of a general neutral functional system with feedback control state‐dependent 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.


πŸ“œ SIMILAR VOLUMES


Existence and stability of periodic solu
✍ Linfei Nie; Zhidong Teng; Lin Hu πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 431 KB

## 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