Abstract
This work presents new Kneser-type oscillation criteria for second-order quasilinear functional dynamic equations defined on arbitrary unbounded above time scales. Our approach employs the Riccati transformation technique in conjunction with the integral averaging method. The results show a significant improvement over recent Kneser-type oscillation criteria. We provided several illustrative examples to highlight the importance of our findings.
Recommended Citation
T. S. Hassan et al., "Enhanced Kneser-Type Oscillation Criteria for Second-Order Functional Quasilinear Dynamic Equations on Time Scales," Aims Mathematics, vol. 10, no. 10, pp. 23789 - 23802, AIMS Press, Jan 2025.
The definitive version is available at https://doi.org/10.3934/math.20251057
Department(s)
Mathematics and Statistics
Publication Status
Open Access
Keywords and Phrases
differential equations; dynamic equations; Kneser-type; oscillation; quasilinear; time scales
International Standard Serial Number (ISSN)
2473-6988
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2025 The Authors, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
01 Jan 2025
Comments
Qassim University, Grant QU-APC-2025