Oscillation and Nonoscillation Criteria for Nonlinear Dynamic Systems on Time Scales
We consider the nonlinear dynamic system 𝑥Δ(𝑡)=𝑎(𝑡)𝑔(𝑦(𝑡)),𝑦Δ(𝑡)=−𝑓(𝑡,𝑥𝜎(𝑡)). We establish some necessary and sufficient conditions for the existence of oscillatory and nonoscillatory solutions with special asymptotic properties for the system. We generalize the known results in the literature. Some...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/137471 |