On a second order differential equation with piecewise constant mixed arguments
CARPATHIAN JOURNAL OF MATHEMATICS, vol.27, no.1, pp.1-12, 2011 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 27 Issue: 1
- Publication Date: 2011
- Journal Name: CARPATHIAN JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1-12
- Keywords: Differential equation, differential equation with piecewise constant arguments, global attractor, oscillation, nonoscillation, periodicity, PERIODIC-SOLUTIONS, DELAY
- Ankara University Affiliated: Yes
Abstract
We prove the existence and uniqueness of solutions of a class of second order differential equations with piecewise constant mixed arguments and we show that the zero solution of Eq. (1.1) is a global attractor. Also, we study some properties of solutions of Eq. (1.1) such as oscillation, nonoscillation, and periodicity