New Iterative Criteria for Oscillation and Asymptotic Properties of Second-Order Advanced Differential Equations

Journal of Nonlinear Mathematical Physics 2026 Book chapter Open access

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Authors: Omar Bazighifan, Alanoud Almutairi, Khalil S. Al-Ghafri, Fahd Masood
DOI: 10.1007/s44198-026-00432-7
Cited by: 1
References: 21

Abstract

Abstract This study examines the oscillatory behavior of advanced differential equations, a crucial aspect for understanding how physical and engineering systems change over time. This paper establishes new oscillation criteria for a class of noncanonical nonlinear second-order differential equations with advanced arguments. An iterative approach is used to derive sufficient conditions that ensure the oscillation of all solutions, extending existing results and reducing restrictions on the coefficients. The results are supported by Euler-type equations and numerical examples, demonstrating the applicability and effectiveness of the obtained criteria.

Fields of Study & Subjects

Nonlinear Differential Equations Analysis Fractional Differential Equations Solutions Numerical methods for differential equations

Publication details

Journal / source
Journal of Nonlinear Mathematical Physics
Publisher
Springer Science and Business Media LLC
Volume
33
Issue
1
Publication date
20 May 2026
Language
EN
Document type
Book chapter