Oscillation Behavior of Third-Order Neutral Emden-Fowler Delay Dynamic Equations on Time Scales

نویسندگان

  • Zhenlai Han
  • Tongxing Li
  • Shurong Sun
  • Chenghui Zhang
  • Leonid Berezansky
چکیده

Wewill establish some oscillation criteria for the third-order Emden-Fowler neutral delay dynamic equations r t x t − a t x τ t ΔΔ Δ p t x δ t 0 on a time scale T, where γ > 0 is a quotient of odd positive integers with r, a, and p real-valued positive rd-continuous functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of these equations on time scales, so this paper initiates the study. Some examples are considered to illustrate the main results.

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تاریخ انتشار 2010