Advances in Difference Equations (Jan 2010)

Oscillation for a Class of Second-Order Emden-Fowler Delay Dynamic Equations on Time Scales

  • Zhao Ping,
  • Sun Shurong,
  • Han Zhenlai,
  • Zhang Chao

Journal volume & issue
Vol. 2010, no. 1
p. 642356

Abstract

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By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order Emden-Fowler delay dynamic equations on a time scale ; here is a quotient of odd positive integers with and as real-valued positive rd-continuous functions defined on . Our results in this paper not only extend the results given in Agarwal et al. (2005), Akin-Bohner et al. (2007) and Han et al. (2007) but also unify the results about oscillation of the second-order Emden-Fowler delay differential equation and the second-order Emden-Fowler delay difference equation.