A note on the stability and boundedness results of solutions of certain fourth order differential equations

Tunc C.

APPLIED MATHEMATICS AND COMPUTATION, cilt.155, sa.3, ss.837-843, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 155 Sayı: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00819-1
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.837-843
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to investigate the asymptotic stability of the zero solution of x((4)) + phi(<(x)double over dot>)(x) triple over dot + f(x, <(x)over dot>)<(x)double over dot> + g(<(x)over dot>) h(x) = 0 with p not equal 0 and the boundedness of all solutions of x((4)) + phi(<(x)double over dot>)(x) triple over dot + f(x, <(x)over dot>)<(x)double over dot> + g(<(x)over dot>) h(x) = 0 with p not equal 0. The results obtained here revise the results in [Demonstratio Math. 31(1) (1998) 87] and improve and includes some results in the relevant literature. (C) 2003 Elsevier Inc. All rights reserved.