Almost periodic solutions of the linear differential equation with piecewise constant argument
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, cilt.16, sa.5, ss.743-753, 2009 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 16 Sayı: 5
- Basım Tarihi: 2009
- Dergi Adı: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.743-753
- Anahtar Kelimeler: Almost periodic solutions, And phrases. linear systems, Piecewise constant argument, Stability
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
The paper is concerned with the existence and stability of almost periodic solutions of linear systems with piecewise constant argument where t∈R, x ∈ Rn [·] is the greatest integer function. The Wexler inequality [1]-[4] for the Cauchy's matrix is used. The results can be easily extended for the quasilinear case. A new technique of investigation of equations with piecewise argument, based on an integral representation formula, is proposed. Copyright © 2009 Watam Press.