ASYMPTOTIC CONVERGENCE OF SOLUTIONS OF A SCALAR q-DIFFERENCE EQUATION WITH DOUBLE DELAYS

Bereketoglu H., KAVGACI M. E., Oztepe G.

ACTA MATHEMATICA HUNGARICA, cilt.148, sa.2, ss.279-293, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 148 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s10474-015-0575-9
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.279-293
  • Anahtar Kelimeler: q-analogue, q-difference equation, delay difference equation, asymptotic convergence, CONSTANCY
  • Ankara Üniversitesi Adresli: Evet

Özet

We obtain sufficient conditions for the asymptotic convergence of all solutions of a scalar q-difference equation with double delays. Moreover, we prove that the limits of the solutions could be formulated in terms of the initial functions and the solution of a corresponding sum equation.