Nonoscillation of First-Order Dynamic Equations with Several Delays

Braverman E., KARPUZ B.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2010
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1155/2010/873459
  • Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

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.