Journal of East China Normal University(Natural Sc ›› 2012, Vol. 2012 ›› Issue (3): 17-23.

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Oscillation criteria of a class of second-order dynamic equations on time scales

YANG Jia-shan   

  1. Department of Science and Information, Shaoyang University, Shaoyang Hunan}422004, China
  • Received:2011-05-01 Revised:2011-08-01 Online:2012-05-25 Published:2012-05-22

Abstract: The oscillation for a class of second-order nonlinear variable delay dynamic equations on time scales with nonlinear neutral term was discussed. Using the time scales theory and some necessary analytic techniques, and by introducing parameter function and the generalized Riccati transformation, some sufficient
conditions for the oscillation of the equations were obtained. Some existing results in the literature are improved and extended.

Key words: time scales, dynamic equations, nonlinear neutral term, variable delay, oscillation

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