Comparison tests for the asymptotic behaviour of higher-order dynamic equations of neutral type

KARPUZ B.

FORUM MATHEMATICUM, vol.27, no.5, pp.2759-2773, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 5
  • Publication Date: 2015
  • Doi Number: 10.1515/forum-2013-0124
  • Journal Name: FORUM MATHEMATICUM
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2759-2773
  • Keywords: Comparison tests, higher-order, oscillation, delay dynamic equations, neutral equations, DIFFERENTIAL-EQUATIONS, TIME SCALES, OSCILLATION THEOREMS, CRITERIA
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this paper, we study oscillation and asymptotic behaviour of higher-order neutral delay dynamic equations, and establish comparison with first-order delay dynamic equations. We also present some examples to show applicability and significance of the new results.