Exponentially dichotomous linear systems of differential equations with piecewise constant argument

AKHMET M.

Discontinuity, Nonlinearity, and Complexity, cilt.1, sa.4, ss.337-352, 2012 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 1 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.5890/dnc.2012.09.001
  • Dergi Adı: Discontinuity, Nonlinearity, and Complexity
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.337-352
  • Anahtar Kelimeler: Almost periodic solutions, Exponential dichotomy, Periodic solutions, Piecewise constant argument
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

© 2012 L & H Scientific Publishing, LLC.We consider differential equations with piecewise constant argument of generalized type. It is the first time, an attention is given to the exponential dichotomy of linear systems. Bounded, almost periodic and periodic solutions and their stability are discussed. The study is made in such a way that further construction of the theory will follow for ordinary differential equations. The results are illustrated by examples.