Asymptotic behavior of solutions of neutral nonlinear differential equations

Jozef  Dzurina

Address. Department of Mathematical Analysis,  Faculty of Sciences,  Safarik University,  Jesenna 5,
                04154  Kosice, Slovakia


Abstract.  In this paper we study asymptotic behavior of solutions of second
order neutral functional differential equation of the form
We present conditions under which all nonoscillatory solutions
are asymptotic to $at+b$ as $t\to\infty$, with $a,b\in R$. The obtained results extend those that are known for equation

AMSclassification. 34K10, 34K25.

Keywords.  Neutral equation, asymptotic behavior.