Oscillations of the system of linear nonautonomous difference equations

Ocalan O., AKIN O.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.283, sa.1, ss.213-218, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 283 Sayı: 1
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0022-247x(03)00273-7
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.213-218
  • Anahtar Kelimeler: difference, oscillation, nonautonomous
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

We consider the linear nonautonomous system of difference equations x(n+1) -x(n) + P(n)x(n-k) = 0, n = 0, 1, 2,..., where k is an element of Z, P(n) is an element of R-rxr. We obtain sufficient conditions for the system to be oscillatory. The conditions based on the eigenvalues of the matrix coefficients of the system. (C) 2003 Elsevier Inc. All rights reserved.