Almost periodic solutions of the linear differential equation with piecewise constant argument

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Atıf İçin Kopyala

AKHMET M.

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.