Upper and lower limit oscillation conditions for first-order difference equations

ÖCALAN Ö.

Proceedings of the Edinburgh Mathematical Society, cilt.65, sa.3, ss.618-631, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 65 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1017/s0013091522000244
  • Dergi Adı: Proceedings of the Edinburgh Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.618-631
  • Anahtar Kelimeler: delay difference equation, general argument, oscillation
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Copyright © 2022 The Author(s).where (p(n)) is a sequence of non-negative real numbers, (τ(n)) is a sequence of integers such that τ(n) < n for n ∈ N, and limn→∞ τ(n) = ∞. Under the assumption that the deviating argument is not necessarily monotone, we obtain some new oscillation conditions and improve the all known results for the above equation in the literature, involving only upper and only lower limit conditions. Two examples illustrating the results are also given.