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COMPARISON THEOREMS ON THE OSCILLATION AND ASYMPTOTIC BEHAVIOUR OF HIGHER-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

Published online by Cambridge University Press:  31 July 2009

BAŞAK KARPUZ ,
ÖZKAN ÖCALAN  and
SERMIN ÖZTÜRK
BAŞAK KARPUZ
Affiliation:
Department of Mathematics, Faculty of Science and Arts, ANS Campus, Afyon Kocatepe University, 03200 Afyonkarahisar, Turkey e-mail: bkarpuz@gmail.com, ozkan@aku.edu.tr, ssahin@aku.edu.tr URLs: http://www2.aku.edu.tr/~bkarpuz(B. Karpuz), http://www2.aku.edu.tr/~ozkan(Ö. Öcalan)
ÖZKAN ÖCALAN
Affiliation:
Department of Mathematics, Faculty of Science and Arts, ANS Campus, Afyon Kocatepe University, 03200 Afyonkarahisar, Turkey e-mail: bkarpuz@gmail.com, ozkan@aku.edu.tr, ssahin@aku.edu.tr URLs: http://www2.aku.edu.tr/~bkarpuz(B. Karpuz), http://www2.aku.edu.tr/~ozkan(Ö. Öcalan)
SERMIN ÖZTÜRK
Affiliation:
Department of Mathematics, Faculty of Science and Arts, ANS Campus, Afyon Kocatepe University, 03200 Afyonkarahisar, Turkey e-mail: bkarpuz@gmail.com, ozkan@aku.edu.tr, ssahin@aku.edu.tr URLs: http://www2.aku.edu.tr/~bkarpuz(B. Karpuz), http://www2.aku.edu.tr/~ozkan(Ö. Öcalan)
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Abstract

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In this work, oscillatory and asymptotic behaviours of all solutions of higher-order neutral differential equations are compared with first-order delay differential equations, depending on two different ranges of the coefficient associated with the neutral part. Some simple examples are given to compare our results with the existing results in the literature and to illustrate the significance and applicability of our new results. Our results generalise, improve and correct some of the existing results in the literature.

Keywords

34K1134C15
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 1 , January 2010 , pp. 107 - 114
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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