Global existence and boundedness of solutions of a certain nonlinear integro-differential equation of second order with multiple deviating arguments


TUNÇ C. , Ayhan T.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2016
  • Doi Number: 10.1186/s13660-016-0987-2
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS

Abstract

In this paper, we consider the global existence and boundedness of solutions for a certain nonlinear integro-differential equation of second order with multiple constant delays. We obtain some new sufficient conditions which guarantee the global existence and boundedness of solutions to the considered equation. The obtained result complements some recent ones in the literature. An example is given of the applicability of the obtained result. The main tool employed is an appropriate Lyapunov-Krasovskii type functional.