Advanced impulsive differential equations with piecewise constant arguments

• Main Authors: Hüseyin Bereketoglu, Gizem Seyhan, Aşar Ogun
• Format: Article
• Language: English
• Published: Vilnius Gediminas Technical University 2010-04-01
• Series: Mathematical Modelling and Analysis
• Subjects: impulsive differential equation; differential equation with piecewise constant argument; oscillation; nonoscillation; periodicity; global asymptotic stability
• Online Access: https://journals.vgtu.lt/index.php/MMA/article/view/5993
• ISSN: 1392-6292; 1648-3510

We prove the existence and uniqueness of the solutions of a class of first order nonhomogeneous advanced impulsive differential equations with piecewise constant arguments. We also study the conditions of periodicity, oscillation, nonoscillation and global asymptotic stability for some special cases. First published online: 09 Jun 2011