Oscillation of \(3^rd\)-order advanced difference equations with a negative middle term
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Authors
M. Vijayakumar
- Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur-603 203, Tamilnadu, India.
S. Thamilvanan
- Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur-603 203, Tamilnadu, India.
E. Thandapani
- Ramanujan Institute For Advanced Study in Mathematics, University of Madras, Chennai-600 005, Tamilnadu, India.
Abstract
We discuss the situation when all solutions of the half-linear \(3rd\)-order advanced difference equation with a negative middle term are oscillatory. We provided sufficient conditions for all solutions of the studied equation to be oscillatory which are different from the existing results. Examples are presented to illustrate the new results.
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ISRP Style
M. Vijayakumar, S. Thamilvanan, E. Thandapani, Oscillation of \(3^rd\)-order advanced difference equations with a negative middle term, Journal of Mathematics and Computer Science, 28 (2023), no. 4, 316--325
AMA Style
Vijayakumar M., Thamilvanan S., Thandapani E., Oscillation of \(3^rd\)-order advanced difference equations with a negative middle term. J Math Comput SCI-JM. (2023); 28(4):316--325
Chicago/Turabian Style
Vijayakumar, M., Thamilvanan, S., Thandapani, E.. "Oscillation of \(3^rd\)-order advanced difference equations with a negative middle term." Journal of Mathematics and Computer Science, 28, no. 4 (2023): 316--325
Keywords
- \(3rd\)-order difference equation
- negative middle term
- oscillation
- advanced argument
MSC
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