| Title: |
Iterative Kneser-Type Criteria for Oscillation of Half-Linear Second-Order Advanced Dynamic Equations |
| Authors: |
Hassan, T. S.; El-Matary, B. M.; Popa, I. -L.; Mesmouli, M. B.; Odinaev, I.; Jawarneh, Y. |
| Source: |
Mathematics |
| Publisher Information: |
Multidisciplinary Digital Publishing Institute (MDPI) |
| Publication Year: |
2025 |
| Collection: |
Ural Federal University (URFU): ELAR / Уральский федеральный университет: электронный архив УрФУ |
| Subject Terms: |
DIFFERENTIAL EQUATIONS; DYNAMIC EQUATIONS; HALF-LINEAR; OSCILLATION; SECOND ORDER; TIME SCALES |
| Description: |
This work aims to develop new iterative Kneser-type criteria for determining the oscillatory behaviour of half-linear second-order advanced dynamic equations on arbitrary unbounded-above time scales (Formula presented.). The results extend and refine previously established criteria for these equations while also generalising classical criteria for corresponding ordinary dynamic equations. This study provides a broader and more flexible approach to analysing such systems by introducing iterative methods. Several examples are included to demonstrate the accuracy, usefulness, and adaptability. |
| Document Type: |
article in journal/newspaper |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
Final; All Open Access; Gold Open Access; https://elar.urfu.ru/handle/10995/144127; 85219539582; 001430180300001 |
| DOI: |
10.3390/math13040635 |
| Availability: |
https://elar.urfu.ru/handle/10995/144127; https://www.mdpi.com/2227-7390/13/4/635/pdf; https://doi.org/10.3390/math13040635 |
| Rights: |
info:eu-repo/semantics/openAccess ; cc-by ; https://creativecommons.org/licenses/by/4.0/ |
| Accession Number: |
edsbas.3D14AE77 |
| Database: |
BASE |