Even-Order Neutral Delay Differential Equations with Noncanonical Operator: New Oscillation Criteria
Abstract
:1. Introduction
- (H1)
- and where
- (H2)
- does not vanish identically on any half-line for all
- (H3)
- and
2. Preliminaries
3. Simplified Criteria for Oscillation
- (1):
- for and
- (2):
- for and
- (3):
- for
- : (1);
- :
4. Improved Criteria Ensure That
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Moaaz, O.; Almarri, B.; Masood, F.; Atta, D. Even-Order Neutral Delay Differential Equations with Noncanonical Operator: New Oscillation Criteria. Fractal Fract. 2022, 6, 313. https://doi.org/10.3390/fractalfract6060313
Moaaz O, Almarri B, Masood F, Atta D. Even-Order Neutral Delay Differential Equations with Noncanonical Operator: New Oscillation Criteria. Fractal and Fractional. 2022; 6(6):313. https://doi.org/10.3390/fractalfract6060313
Chicago/Turabian StyleMoaaz, Osama, Barakah Almarri, Fahd Masood, and Doaa Atta. 2022. "Even-Order Neutral Delay Differential Equations with Noncanonical Operator: New Oscillation Criteria" Fractal and Fractional 6, no. 6: 313. https://doi.org/10.3390/fractalfract6060313