Asymptotic Estimation for Some Nonlinear Delay Differential Equations

This paper deals with the asymptotic investigation of a nonlinear differential equation with variable time delay. We impose some growth restrictions on the nonlinear delayed term and introduce certain auxiliary differential and functional nondifferential equations. Then some comparison results are given and applied to particular cases of the studied nonlinear equation. Received: January 9, 2006. Revised: October 29, 2007.