SUFFICIENT CONDITIONS FOR THE OSCILLATION OF ODD-ORDER NEUTRAL DYNAMIC EQUATIONS

KARPUZ B.

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, vol.14, no.1, pp.69-76, 2017 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2017
  • Journal Name: INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.69-76
  • Keywords: oscillation, odd-order, delay dynamic equations, TIME SCALES, CRITERIA
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this paper, we study oscillation and asymptotic behaviour of odd-order delay dynamic equations. We first state an oscillation test for odd-order nonneutral equations, then by comparison we provide sufficient conditions for all solutions of neutral equations to be oscillatory or tend to zero depending on two main ranges of the neutral coefficient.