Oscillation for a Nonlinear Dynamic System with a Forced Term on Time Scales
We consider a class of two-dimensional nonlinear dynamic system with a forced term on a time scale 𝕋 and obtain sufficient conditions for all solutions of the system to be oscillatory. Our results not only unify the oscillation of two-dimensional differential systems and difference systems but also...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/747838 |
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| Summary: | We consider a class of two-dimensional nonlinear dynamic system with a forced term on a time scale 𝕋 and obtain sufficient conditions for all solutions of the system to be oscillatory. Our results not only unify the oscillation of two-dimensional differential systems and difference systems but also improve the oscillation results that have been established by Saker, 2005, since our results are not restricted to the case where b(t)≠0 for all t∈𝕋 and g(u)=u. Some examples are given to illustrate the results. |
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| ISSN: | 1085-3375 1687-0409 |