Abstract
The aim of this paper is to give oscillation criteria for the third-order neutral dynamic equations with distributed deviating arguments of the form [r(t)([x(t)+p(t)x(?(t))]??)?]? + ?dc f(t,x[?(t,?)])?? = 0; where ?>0 is the quotient of odd positive integers with r(t) and p(t) real-valued rd-continuous positive functions defined on T. By using a generalized Riccati transformation and integral averaging technique, we establish some new sufficient conditions which ensure that every solution of this equation oscillates or converges to zero.
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