Asymptotic Behaviour of a Two-Dimensional Differential System with a Finite Number of Nonconstant Delays under the Conditions of Instability
The asymptotic behaviour of a real two-dimensional differential system ∑𝑥′(𝑡)=𝖠(𝑡)𝑥(𝑡)+𝑚𝑘=1𝖡𝑘(𝑡)𝑥(𝜃𝑘(𝑡))+ℎ(𝑡,𝑥(𝑡),𝑥(𝜃1(𝑡)),…,𝑥(𝜃𝑚(𝑡))) with unbounded nonconstant delays 𝑡−𝜃𝑘(𝑡)≥0 satisfying lim𝑡→∞𝜃𝑘(𝑡)=∞ is studied under the assumption of instability. Here, 𝖠, 𝖡𝑘, and ℎ are supposed to be matrix...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/952601 |
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