A NECESSARY AND SUFFICIENT CONDITION FOR OSCILLATION OF SECOND ORDER SUBLINEAR DELAY DYNAMIC EQUATIONS

Mert R., Zafer A.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, cilt.31, ss.1061-1067, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31
  • Basım Tarihi: 2011
  • Dergi Adı: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1061-1067
  • Anahtar Kelimeler: Time scale, Sublinear, Second order, Delay, Oscillation, Nonoscillation
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Time scale calculus approach allows one to treat the continuous, discrete, as well as more general systems simultaneously. In this article we use this tool to establish a necessary and sufficient condition for the oscillation of a class of second order sublinear delay dynamic equations on time scales. Some well known results in the literature are improved and extended.