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, vol.36, pp.15-31, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36
  • Publication Date: 2009
  • Journal Name: KUWAIT JOURNAL OF SCIENCE & ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.15-31
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

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.