A new result on the boundedness of solutions to a nonlinear differential equation of fifth-order with delay

Tunc C.

KUWAIT JOURNAL OF SCIENCE & ENGINEERING, cilt.36, ss.15-31, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36
  • Basım Tarihi: 2009
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE & ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.15-31
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, some sufficient conditions are established to guarantee the boundedness of all solutions of a specific nonlinear differential equation of fifth order with constant delay. By introducing a Lyapunov functional, we obtain a new result on the boundedness of solutions of a delay differential equation of fifth order.