Asymptotic Behavior for Nonoscillatory Solutions of Second Order Nonlinear Functional Differential Equation

This paper studied the asymptotic behavior of a class of nonlinear functional differential equations by using the Bellman-Bihari inequality. We obtain results which extend and complement those in references. The results indicate that all non-oscillatory continuable solutions of equation are asymptotic to at+b as t -> infinity under some sufficient conditions, where a,b are real constants. An example is provided to illustrate the application of the results.