Global asymptotic stability and boundedness of certainmulti-delay functional differential equations of third order

Graef J. R., TUNÇ C.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.38, no.17, pp.3747-3752, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 17
  • Publication Date: 2015
  • Doi Number: 10.1002/mma.3314
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3747-3752
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this paper, the authors give sufficient conditions for the boundedness and global asymptotic stability of solutions to certain nonlinear multi-delay functional differential equations of the third order. The technique of proof involves defining an appropriate Lyapunov-Krasovskii functional and applying LaSalle's invariance principle. An example is included to illustrate the results. Copyright (C) 2014 JohnWiley & Sons, Ltd.