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The main purpose of this paper is to study the oscillatory properties of solutions of the third-order quasi-linear delay differential equationℒ  y  (  t  )  +  f  (  t  )    y   β   (  σ  (  t  )  )  =  0    {\cal L}y(t) + f(t){y^\beta }(\sigma (t)) = 0    where ℒ y ( t ) = ( b ( t )( a ( t )( y  0 ( t )) ) 0 ) 0  is a semi-canonical differential operator. The main idea is to transform the semi-canonical operator into canonical form and then obtain new oscillation results for the studied equation. Examples are provided to illustrate the importance of the main results.

Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations