Abstract
In this paper, new oscillation results for nonlinear third-order difference equations with mixed neutral terms are established. Unlike previously used techniques, which often were based on Riccati transformation and involve limsup or liminf conditions for the oscillation, the main results are obtained by means of a new approach, which is based on a comparison technique. Our new results extend, simplify, and improve existing results in the literature. Two examples with specific values of parameters are offered.
Recommended Citation
J. Alzabut et al., "Oscillation of Nonlinear Third-Order Difference Equations with Mixed Neutral Terms," Advances in Difference Equations, vol. 2021, no. 1, SpringerOpen, Dec 2021.
The definitive version is available at https://doi.org/10.1186/s13662-020-03156-0
Department(s)
Mathematics and Statistics
Keywords and Phrases
Comparison; Mixed neutral terms; Nonlinear third-order difference equations; Oscillation
International Standard Serial Number (ISSN)
1687-1839; 1687-1847
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2021 The Authors, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
01 Dec 2021