Interval oscillation of second-order functional differential equations with oscillatory potentials

GÜVENİLİR A. F.

Nonlinear Analysis, Theory, Methods and Applications, cilt.71, sa.12, 2009 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 12
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.na.2009.06.095
  • Dergi Adı: Nonlinear Analysis, Theory, Methods and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Advanced argument, Delay argument, Interval oscillation, Nonlinear differential equation, Oscillatory potentials, Second-order
  • Ankara Üniversitesi Adresli: Evet

Özet

Interval oscillation criteria are established for second-order differential equations of the form (Eγ)(k (t) x′ (t))′ + p (t) x (g (t)) + q (t) | x (g (t)) |γ - 1 x (g (t)) = e (t), t ≥ 0 where γ > 1 ; k, p, q, e and g are continuous real-valued functions; k (t) > 0 is nondecreasing; g (t) is nondecreasing, limt → ∞ g (t) = ∞. We consider g (t) ≤ t and g (t) ≥ t, separately. Illustrative examples are included. © 2009 Elsevier Ltd. All rights reserved.