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

Saker, Samir; Sethi, Abhay; Tunç, Osman; Alzabut, Jehad

doi:10.22436/jmcs.029.04.07

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

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

Journal of Mathematics and Computer Science, vol.29, no.4, pp.387-398, 2023 (ESCI, Scopus)

Publication Type: Article / Article
Volume: 29 Issue: 4
Publication Date: 2023
Doi Number: 10.22436/jmcs.029.04.07
Journal Name: Journal of Mathematics and Computer Science
Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
Page Numbers: pp.387-398
Keywords: half-linear/Emden-Fowler neutral dynamic equation, nonoscillation, Oscillation, time scales
Open Archive Collection: AVESIS Open Access Collection
Van Yüzüncü Yıl University Affiliated: Yes

Abstract

© 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.