Necessary and sufficient conditions are found for all oscillatory solutions of the equation ( r n − 1 ( t ) ( r n − 2 ( t ) ( − − − ( r 2 ( t ) ( r 1 ( t ) y ′ ( t ) ) ′ ) ′ − − − ) ′ ) ′ ) ′ + a ( t ) h ( y ( g ( t ) ) ) = b ( t ) to approach zero. Sufficient conditions are also given to ensure that all solutions of this equation are unbounded.