Second-order noncanonical difference equations with a sublinear neutral term: improved oscillation criteria
DOI:
https://doi.org/10.24193/subbmath.2026.3.6Abstract
The topic under consideration is the study of the oscillatory behaviour of the second-order nonlinear neutral difference equation of the form
Δ[r(ν)(Δ(V(ν) − q(ν)Vγ(δ(ν))))α] + P(ν)Vβ(η(ν)) = 0, ν ≥ ν0
of noncanonical type. We give an answer to a question raised in [10, Remark 4.1]. Our findings generalise the work of Dinakar et al. [14], Seghar et al. [20], and Thandapani and Selvarangam [21]. Two examples are given to demonstrate the analytical results. Finally, we state two open problems for future research.
Mathematics Subject Classification (2010): 39A10, 39A12, 39A21.
Received 29 November 2024; Accepted 25 June 2026.
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