A new instability result to nonlinear vector differential equations of fifth order


TUNÇ C. , KARTA M.

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2008 (Journal Indexed in SCI) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2008
  • Doi Number: 10.1155/2008/971534
  • Title of Journal : DISCRETE DYNAMICS IN NATURE AND SOCIETY

Abstract

By constructing a Lyapunov function, a new instability result is established, which guarantees that the trivial solution of a certain nonlinear vector differential equation of the fifth order is unstable. An example is also given to illustrate the importance of the result obtained. By this way, our findings improve an instability result related to a scalar differential equation in the literature to instability of the trivial solution to the afore-mentioned differential equation. Copyright (C) 2008 C. Tunc and M. Karta.