INEQUALITIES AND EXPONENTIAL DECAY OF CERTAIN DIFFERENTIAL EQUATIONS OF FIRST ORDER IN TIME VARYING DELAY

Korkmaz E., Tunc C.

DYNAMIC SYSTEMS AND APPLICATIONS, vol.26, no.1, pp.157-166, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 1
  • Publication Date: 2017
  • Journal Name: DYNAMIC SYSTEMS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.157-166
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this paper, we give sufficient conditions to guarantee exponential decay of solutions to zero of the time varying delay differential equation of first order. By using the Lyapunov-Krasovskii functional approach, we establish new results on the exponential decay of solutions, which include and improve some related results in the literature.