摘要:The objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of a linear third-order delay differential equation of the form ( r 2 ( t ) ( r 1 ( t ) y ′ ( t ) ) ′ ) ′ + q ( t ) y ( τ ( t ) ) = 0 . $$ igl( r_,(t) igl( r_)(t)y'(t) igr) ' igr) '+q(t)y igl( au(t) igr)= 0. $$ We establish new oscillation criteria that can be used to test for oscillations, even when the previously known criteria fail to apply. Examples illustrating the results are also given.