Riccati technique for oscillation of half-linear/Emden-Fowler neutral dynamic equations

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Saker S. H., Sethi A. K., Tunç O., Alzabut J.

Journal of Mathematics and Computer Science, cilt.29, sa.4, ss.387-398, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.22436/jmcs.029.04.07
  • Dergi Adı: Journal of Mathematics and Computer Science
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.387-398
  • Anahtar Kelimeler: half-linear/Emden-Fowler neutral dynamic equation, nonoscillation, Oscillation, time scales
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

© 2023 All rights reserved.By using the Riccati technique, which reduces the higher order dynamic equations to a Riccati dynamic inequality, we will establish some new sufficient conditions for the oscillation of half-linear/Emden-Fowler neutral dynamic equation of the form (Formula presented), on a time scale T, where γ, a, and β are quotients of odd positive integers. An example with particular equation is constructed in consistent to the above equation and oscillation criteria are established for its solution.