Year: 2025
Type: article
Abstract: The paper investigates the oscillation, zero-convergence, and solutions of second-order neutral delay difference equations containing three nonlinear delayed terms with different growth rates. By using positivity and monotonicity conditions on an auxiliary function along with divergence-type conditions on the coefficient sequences of the neutral and delayed terms, the paper establishes new criteria that guarantee oscillation or convergence of all solutions. These novel findings extend and enhance several of the existing oscillation criteria established by the literature. Suggestions for further investigation are included with illustrative examples.
Source: Mathematics
DOI: 10.3390/math13243902
Authors: K. Masaniammal, R. Ramesh, L. Senthil Kumar, K. Kalaiselvi, Vadivel Rajarathinam, Taha Radwan
Institutions: Phuket Rajabhat University, Qassim University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
Funder: Qassim University
Award: G92618698
OpenAlex ID: W4417045460
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