On the Stability of Nonlinear of Neutral Integro-Differential Equations


Gözen M., Tunç C.

New Trends in Mathematics and Mathematics Education, Siirt, Turkey, 1 - 03 December 2021, pp.1-14

  • Publication Type: Conference Paper / Full Text
  • City: Siirt
  • Country: Turkey
  • Page Numbers: pp.1-14
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

       This works deals with a nonlinear system of neutral delay integro-differential equations. Here,  the asymptotically stability of solutions is studied. New results on the asymptotically stability of solutions are obtained by defining and using two new Lyapunov- Krasovskiĭ functionals. The results of this paper generalize some former results and include them under weaker conditions. This paper also gives some new contributions to the theory of fundamental properties of solutions of neutral integro-differential equations.