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Issue 3
Jul.  2014
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ZHANG Xiao-jian, YANG Jia-shan. Oscillation and asymptotic behaviors for third-order delay dynamic equations on time scales[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 51-59.
Citation: ZHANG Xiao-jian, YANG Jia-shan. Oscillation and asymptotic behaviors for third-order delay dynamic equations on time scales[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 51-59.

Oscillation and asymptotic behaviors for third-order delay dynamic equations on time scales

  • Received Date: 2013-06-01
  • Rev Recd Date: 2013-09-01
  • Publish Date: 2014-05-25
  • The oscillation for certain third-order nonlinear variable delay dynamic equations on time scales was discussed in this article. By using the generalized Riccati transformation and a lot of inequality techniques, we established some new sufficient conditions which ensure that every solution of the equations either oscillates or converges to zero. The results extend and improve some known results. Examples were given to illustrate the main results.
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