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›› 2012, Vol. ›› Issue (6): 731-737.DOI: 10.7523/j.issn.2095-6134.2012.6.002

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Oscillation of second-order dynamic equations with nonlinear neutral term on time scales

YANG Jia-Shan   

  1. Department of Science and Information, Shaoyang University, Shaoyang 422004, Hunan, China
  • Received:2011-05-24 Revised:2011-07-19 Online:2012-11-15

Abstract: Oscillation of second-order nonlinear variable delay dynamic equations with nonlinear neutral term on time scales is discussed. By using the time scale theory and some necessary analytic techniques and by introducing parameter functions and the generalized Riccati transformation, some sufficient conditions for the oscillation of the equations are obtained. Some examples are given to illustrate our main conclusions.

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

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