On the instability of solutions of some fifth order nonlinear delay differential equations

Tunc C.

APPLIED MATHEMATICS & INFORMATION SCIENCES, cilt.5, sa.1, ss.112-121, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 1
  • Basım Tarihi: 2011
  • Dergi Adı: APPLIED MATHEMATICS & INFORMATION SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.112-121
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, by using the Lyapunov-Krasovskii functional approach, we study a kind of fifth order delay differential equations and obtain some new sufficient conditions for the instability of the zero solution of the equations considered. By this work, we improve some instability results obtained in the literature for a fifth order nonlinear differential equation without delay to the instability of solutions of certain fifth order nonlinear differential equations with delay.