𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence and attractivity of a periodic solution for a ratio-dependent Leslie system with feedback controls

✍ Scribed by Qi Wang; Jizhou; Zhijie Wang; Minmin Ding; Hongyan Zhang

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
240 KB
Volume
12
Category
Article
ISSN
1468-1218

No coin nor oath required. For personal study only.

✦ Synopsis

A ratio-dependent Leslie system with feedback controls is studied. By using the comparison and continuation theorems, and based on the coincidence degree and by constructing a suitable Lyapunov function, some sufficient and necessary conditions for the existence and global attractivity of periodic solutions are obtained. One example shows that the obtained criteria are easily verifiable.

πŸ“œ SIMILAR VOLUMES

Positive periodic solutions for a neutra
Positive periodic solutions for a neutral differential system with feedback control
✍ Guirong Liu; Jurang Yan πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 432 KB

Applying a fixed-point theorem of strict-set-contractions, some new criteria are established for the existence of positive periodic solutions of the following neutral differential system with feedback control dt