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

KARPUZ, BAŞAK ; ÖCALAN, ÖZKAN ; ÖZTÜRK, SERMIN

Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 107-114

Résumé

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.

Détail

DOI : 10.1017/S0017089509990188

Mots-clés : 34K11, 34C15

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