Instability of solutions for certain nonlinear vector differential equations of fourth order

Tunc C.

NONLINEAR OSCILLATIONS, vol.12, no.1, pp.123-132, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 1
  • Publication Date: 2009
  • Doi Number: 10.1007/s11072-009-0065-5
  • Journal Name: NONLINEAR OSCILLATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.123-132
  • Van Yüzüncü Yıl University Affiliated: No

Abstract

The main purpose of this paper is to give a result with explanatory example that deals directly with the instability of the trivial solution of a certain nonlinear vector differential equation of the fourth order. The result established here improves and includes a well-known instability result established for a scalar nonlinear differential equation of the fourth order.