STABILITY OF A LINEAR INTEGRO-DIFFERENTIAL EQUATION OF FIRST ORDER WITH VARIABLE DELAYS


TUNÇ C. , Akbulut I.

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.10, no.2, pp.19-30, 2018 (Journal Indexed in ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 2
  • Publication Date: 2018
  • Title of Journal : BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Page Numbers: pp.19-30

Abstract

We consider a linear integro-differential equation (IDE) of first order with two variable delays. We construct new conditions guaranteeing the trivial solution of this IDE is stable. The technique of the proof based on the use of the fixed-point theory. Our findings generalize and improve some results can be found in the literature.