Oscillatory behavior of solutions of second-order non-linear differential equations with mixed non-linear neutral terms

Autor: Ahmed M. Hassan, Osama Moaaz, Sameh S. Askar, Ahmad M. Alshamrani
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
Druh dokumentu: article
ISSN: 2297-4687
DOI: 10.3389/fams.2024.1384559
Popis: This study primarily seeks to expand upon these developments by encompassing neutral differential equations of mixed type, incorporating both delay and advanced terms, particularly in the case of the canonical operator. The presented results are derived from the application of the comparison method, Riccati transformation, and integral averaging technique. These methodologies lead to substantial improvements and extensions of existing results found in the literature. Additionally, illustrative examples are provided to demonstrate the practical implications of the developed criteria.
Databáze: Directory of Open Access Journals