Global Attractivity of Positive Periodic Solutions of Delay Differential Equations with Feedback Control
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 dy/dt=y(t)F(t,y(t−τ1(t)),…,y(t−τn(t)),u(t−δ(t...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2007/62731 |
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| Summary: | 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 dy/dt=y(t)F(t,y(t−τ1(t)),…,y(t−τn(t)),u(t−δ(t))), du/dt=−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. |
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| ISSN: | 1026-0226 1607-887X |