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.
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
Mathematics and Statistics
Keywords and Phrases
Comparison; Mixed neutral terms; Nonlinear third-order difference equations; Oscillation
International Standard Serial Number (ISSN)
Article - Journal
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01 Dec 2021