Nonoscillation and oscillation of second-order impulsive differential equations with periodic coefficients

ÖZBEKLER A., Zafer A.

APPLIED MATHEMATICS LETTERS, cilt.25, sa.3, ss.294-300, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.aml.2011.09.001
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.294-300
  • Anahtar Kelimeler: Oscillation, Impulse, Half-Linear, Periodic
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we give a nonoscillation criterion for half-linear equations with periodic coefficients under fixed moments of impulse actions. The method is based on the existence of positive solutions of the related Riccati equation and a recently obtained comparison principle. In the special case when the equation becomes impulsive Hill equation new oscillation criteria are also obtained. (C) 2011 Elsevier Ltd. All rights reserved.