Oscillatory behavior for higher-order nonlinear differential equations in the canonical case
Abstract
Abstract In this paper, we study the oscillation of a class of higher-order neutral nonlinear differential equations. We begin by establishing the relationship between the solution and its corresponding function. Then, by applying Riccati substitution along with some inequalities, we derive a set of sufficient conditions under which positive solutions do not exist, thus providing an oscillation criterion that guarantees the oscillation of all solutions to the equation under study. These criteria also improve upon related results in the literature. Examples are given to illustrate the significance of the established results.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Mathematical and Theoretical Epidemiology and Ecology Models
Publication details
- Journal / source
- Journal of Inequalities and Applications
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 1
- Publication date
- 13 January 2026
- Language
- EN