Asymptotic constancy for impulsive differential equations with piecewise constant argument

Bereketoğlu H., Seyhan Öztepe G.

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, vol.57, no.2, pp.181-192, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 57 Issue: 2
  • Publication Date: 2014
  • Journal Name: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.181-192
  • Keywords: Asymptotic constancy, Impulsive differential equation, Differential equation with piecewise constant arguments, GENERALIZED TYPE, DELAYS
  • Ankara University Affiliated: Yes

Abstract

After studying the existence of the unique solution x (t) of initial value problem (1.1) (1.3), we prove that the limit of x (t) is a real constant as t -> infinity. Also, we formulate this limit value in terms of the initial condition (1.3) and the solution of the integral equation (2.3).