Oscillation conditions of the second-order noncanonical difference equations
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Authors
P. Gopalakrishnan
- Department of Mathematics, Mahendra Arts \(\&\) Science College (Autonomous), Kalipatti, Namakkal Dt., Tamil Nadu, India.
A. Murugesan
- Department of Mathematics, Government Arts College (Autonomous), Salem-636007, Tamil Nadu, India.
C. Jayakumar
- Department of Mathematics, Mahendra Arts \(\&\) Science College (Autonomous), Kalipatti, Namakkal Dt., Tamil Nadu, India.
Abstract
We derive new oscillatory conditions for the second-order noncanonical difference equations of the type
\[
\Delta ( r(\nu) \Delta x(\nu) ) + q(\nu) x (\nu+\sigma) = 0, \quad \nu\geq \nu_0,\]
by creating monotonical properties of nonoscillatory solutions. Our oscillatory outcomes are effectively an extension of the previous ones. We provide several examples to demonstrate the efficacy of the new criteria.
Share and Cite
ISRP Style
P. Gopalakrishnan, A. Murugesan, C. Jayakumar, Oscillation conditions of the second-order noncanonical difference equations, Journal of Mathematics and Computer Science, 25 (2022), no. 4, 351--360
AMA Style
Gopalakrishnan P., Murugesan A., Jayakumar C., Oscillation conditions of the second-order noncanonical difference equations. J Math Comput SCI-JM. (2022); 25(4):351--360
Chicago/Turabian Style
Gopalakrishnan, P., Murugesan, A., Jayakumar, C.. "Oscillation conditions of the second-order noncanonical difference equations." Journal of Mathematics and Computer Science, 25, no. 4 (2022): 351--360
Keywords
- Oscillation
- nonoscillation
- second-order
- canonical
- noncanonical
- delay
- difference equations
MSC
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