Oscillation Results for Difference Equations with Several Non-Monotone Advanced Arguments
Abstract
We investigate the oscillatory behavior of a first-order linear difference equation with several advanced arguments. New sufficient conditions for oscillation are established, and we show, through carefully constructed counterexamples, that many well-known oscillation criteria for equations with a single advanced argument fail to generalize to the several-argument setting, even when each advanced argument is increasing. Several illustrative examples are also provided to demonstrate the sharpness and practical effectiveness of the obtained conditions and to highlight their clear improvements over all existing results in the literature.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Mathematical and Theoretical Epidemiology and Ecology Models
Fixed Point Theorems Analysis
Publication details
- Journal / source
- Mathematics
- Publisher
- MDPI AG
- Volume
- 14
- Issue
- 3
- Pages
- 446–446
- Publication date
- 27 January 2026
- Language
- EN