Oscillation of second-order nonlinear neutral dynamic equations on time scales with distributed deviating arguments

  • Authors:

  • T. Candan

  • Affiliations:

  • -

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2011

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Abstract

This article is concerned with oscillation of second-order neutral dynamic equations with distributed deviating arguments of the form (r(t)((y(t)+p(t)y(@t(t)))^@D)^@c)^@D+@!"c^df(t,y(@q(t,@x)))@D@x=0, where @c0 is a ratio of odd positive integers with r(t) and p(t) real-valued rd-continuous positive functions defined on T. We establish some new oscillation criteria and give sufficient conditions to insure that all solutions of nonlinear neutral dynamic equation are oscillatory on a time scale T.