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Oscilations of higher-order neutral equations

Published online by Cambridge University Press:  17 February 2009

G. Ladas
Affiliation:
Department of Mathematics, University of Rhode Island, Kingston, Rhode Island 02881, USA
Y. G. Sficas
Affiliation:
Department of Mathematics, University of Ioannina, Ioannina 45332, Greece.
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Abstract

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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.

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1986