Nonoscillation of First-Order Dynamic Equations with Several Delays


Braverman E., KARPUZ B.

ADVANCES IN DIFFERENCE EQUATIONS, vol.2010, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2010
  • Publication Date: 2010
  • Doi Number: 10.1155/2010/873459
  • Journal Name: ADVANCES IN DIFFERENCE EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Dokuz Eylül University Affiliated: No

Abstract

For dynamic equations on time scales with positive variable coefficients and several delays, we prove that nonoscillation is equivalent to the existence of a positive solution for the generalized characteristic inequality and to the positivity of the fundamental function. Based on this result, comparison tests are developed. The nonoscillation criterion is illustrated by examples which are neither delay-differential nor classical difference equations.