New Oscillatory Theorems for Third-Order Nonlinear Delay Dynamic Equations on Time Scales

This paper is concerned with the oscillatory properties of the third-ordernonlinear delay dynamic equations of the form  on time scales , where  is a quotient of oddpositive integers. Applying the inequality technique we present two newsufficient conditions which ensure that every solution of equations isoscillatory or converges to zero. The results obtained improve and complementsome known results in the literature.