Oscillation Criteria for Third Order Neutral Generalized Difference Equations with Distributed Delay
Abstract
:1. Introduction
- is a positive real sequence with , and , for ;
- and are non-negative real sequences with ;
- is a continuous function such that , for ;
- , and .
2. Preliminaries
- (i)
- , , ;
- (ii)
- , , ,
3. Main Results
- (I)
- for ;
- (II)
- for ;
- (III)
- for and a positive real sequence with the condition
4. Examples
5. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
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Reddy, P.V.M.; Manuel, M.M.S.; Kılıçman, A. Oscillation Criteria for Third Order Neutral Generalized Difference Equations with Distributed Delay. Symmetry 2019, 11, 1501. https://doi.org/10.3390/sym11121501
Reddy PVM, Manuel MMS, Kılıçman A. Oscillation Criteria for Third Order Neutral Generalized Difference Equations with Distributed Delay. Symmetry. 2019; 11(12):1501. https://doi.org/10.3390/sym11121501
Chicago/Turabian StyleReddy, P. Venkata Mohan, M. Maria Susai Manuel, and Adem Kılıçman. 2019. "Oscillation Criteria for Third Order Neutral Generalized Difference Equations with Distributed Delay" Symmetry 11, no. 12: 1501. https://doi.org/10.3390/sym11121501
APA StyleReddy, P. V. M., Manuel, M. M. S., & Kılıçman, A. (2019). Oscillation Criteria for Third Order Neutral Generalized Difference Equations with Distributed Delay. Symmetry, 11(12), 1501. https://doi.org/10.3390/sym11121501