Philos-Type Oscillation Results for Third-Order Differential Equation with Mixed Neutral Terms
Abstract
:1. Introduction
- (H1)
- ∈ and , for
- (H2)
- , and , is not identically zero on , ;
- (H3)
- are constants, for , and the integral of (1) is taken in the sense of Riemann–Stieltijes.
2. Main Results
- (i)
- for and for ,
- (ii)
- , and is a locally integrable function.
3. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Kumar, M.S.; Bazighifan, O.; Almutairi, A.; Chalishajar, D.N. Philos-Type Oscillation Results for Third-Order Differential Equation with Mixed Neutral Terms. Mathematics 2021, 9, 1021. https://doi.org/10.3390/math9091021
Kumar MS, Bazighifan O, Almutairi A, Chalishajar DN. Philos-Type Oscillation Results for Third-Order Differential Equation with Mixed Neutral Terms. Mathematics. 2021; 9(9):1021. https://doi.org/10.3390/math9091021
Chicago/Turabian StyleKumar, Marappan Sathish, Omar Bazighifan, Alanoud Almutairi, and Dimplekumar N. Chalishajar. 2021. "Philos-Type Oscillation Results for Third-Order Differential Equation with Mixed Neutral Terms" Mathematics 9, no. 9: 1021. https://doi.org/10.3390/math9091021