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

KARPUZ B., ÖCALAN Ö., ÖZTÜRK S.

GLASGOW MATHEMATICAL JOURNAL, vol.52, pp.107-114, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52
  • Publication Date: 2010
  • Doi Number: 10.1017/s0017089509990188
  • Journal Name: GLASGOW MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.107-114
  • Dokuz Eylül University Affiliated: No

Abstract

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 oil two different ranges of the coefficient associated with the neutral part. Some simple examples are given to compare or 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.