Global Attractivity of Positive Periodic Solutions of Delay Differential Equations with Feedback Control

Zhi-Long Jin

Discrete Dynamics in Nature and Society, 2007, vol. 2007, 1-11

Abstract:

By constructing suitable Liapunov functionals and estimating uniform upper and lower bounds of solutions, sufficient conditions are obtained for the global attractivity of positive periodic solutions of the delay differential system with feedback control d y / d t = y ( t ) F ( t , y ( t − τ 1 ( t ) ) , … , y ( t − τ n ( t ) ) , u ( t − δ ( t ) ) ) , d u / d t = − η ( t ) u ( t ) + a ( t ) y ( t − σ ( t ) ) . When these results are applied to the periodic logistic equation with several delays and feedback control, some new results are obtained.

Date: 2007
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2007/062731.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2007/062731.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:062731

DOI: 10.1155/2007/62731

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().