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Asymptotic behavior of solutions of neutral nonlinear differential equations

Jozef Džurina (2002)

Archivum Mathematicum

In this paper we study asymptotic behavior of solutions of second order neutral functional differential equation of the form x ( t ) + p x ( t - τ ) ' ' + f ( t , x ( t ) ) = 0 . We present conditions under which all nonoscillatory solutions are asymptotic to a t + b as t , with a , b R . The obtained results extend those that are known for equation u ' ' + f ( t , u ) = 0 .

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