Asymptotic constancy for impulsive differential equations with piecewise constant argument
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, cilt.57, sa.2, ss.181-192, 2014 (SCI-Expanded, Scopus)
- 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).