About uniform boundedness and convergence of solutions of certain non-linear differential equations of fifth-order


Tunc C.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.30, ss.1-12, 2007 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 30 Konu: 1
  • Basım Tarihi: 2007
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Sayfa Sayıları: ss.1-12

Özet

In this paper, we establish sufficient conditions under which all solutions of equation of the type X-(5) + f (t, (x)over dot, (x)double over dot, (x) triple over dot, x((4))) + phi(t, (x)over dot, <(x)double over dot>, (x) triple over dot) + phi (t, x, (x)over dot, <(x)double over dot>) + g(t, x, (x)over dot) + e(t)h(x) = p(t, x, (x)over dot, <(x)double over dot>, (x) triple over dot, x((4))) are uniformly bounded and tend to zero as t -> infinity. Our theorem is stated in a more general form; it extends some related results known in the literature. Also, the relevance of our result is to show that the results established in Abou El-Ela and Sadek [2,3] and Sadek [13] contain some superfluous conditions.