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, cilt.57, sa.2, ss.181-192, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 57 Sayı: 2
  • Basım Tarihi: 2014
  • Dergi Adı: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.181-192
  • Anahtar Kelimeler: Asymptotic constancy, Impulsive differential equation, Differential equation with piecewise constant arguments, GENERALIZED TYPE, DELAYS
  • Ankara Üniversitesi Adresli: Evet

Özet

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).