The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

Research Article

Oscilations of higher-order neutral equations

G. Ladasa1 and Y. G. Sficasa2

a1 Department of Mathematics, University of Rhode Island, Kingston, Rhode Island 02881, USA

a2 Department of Mathematics, University of Ioannina, Ioannina 45332, Greece.


Sufficient conditions are given for the occurrence of various types of asymptotic behaviour in the solution of a class of n th order neutral delay differential equations. The conditions are in the form of certain inequalities amongst the constants involved in the definition of the differential equations, and specify either oscillatory behavior, or asymptotic divergence, or solutions which converge to zero.

(Received April 12 1985)