Convergence of solutions of nonhomogeneous linear difference systems with delays

BEREKETOĞLU H., Huseynov A.

Acta Applicandae Mathematicae, cilt.110, sa.1, ss.259-269, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 110 Sayı: 1
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s10440-008-9404-2
  • Dergi Adı: Acta Applicandae Mathematicae
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.259-269
  • Anahtar Kelimeler: Adjoint equation, Asymptotic constancy, Delay difference equations
  • Ankara Üniversitesi Adresli: Evet

Özet

Sufficient conditions are given for the asymptotic constancy of the solutions of a linear system of difference equations with delays. Moreover, it is shown that the limits of the solutions, as t→∞, can be computed in terms of the initial function and a special matrix solution of the corresponding adjoint equation. © 2008 Springer Science+Business Media B.V.