Bound of solutions to third-order nonlinear differential equations with bounded delay


Tunc C.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, vol.347, no.2, pp.415-425, 2010 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 347 Issue: 2
  • Publication Date: 2010
  • Doi Number: 10.1016/j.jfranklin.2009.05.001
  • Title of Journal : JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
  • Page Numbers: pp.415-425

Abstract

A theorem is presented that contains some sufficient conditions to ensure bound of solutions to a third-order nonlinear delay differential equation. It is shown that this theorem improves the result of Ponzo [On the stability of certain nonlinear differential equations, IEEE Trans. Automatic Control AC-10 (1965) 470-472] to the bound of solutions for the equation considered. (C) 2009 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.