Oscillatory properties of third-order quasilinear difference equations
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DOI:
https://doi.org/10.26637/mjm104/016Abstract
Some new oscillation criteria are obtained for the third-order quasilinear difference equation \(\Delta^2\left(p_n\left(\Delta x_n\right)^\alpha\right)-q_n\left(\Delta x_n\right)^\alpha+r_n f\left(x_n\right)=0\), \(n=0,1,2, \ldots\), where \(\alpha>0\) is the ratio of odd positive integers. The method uses techniques based on Schwarz's inequality. Example is inserted to illustrate the result.
Keywords:
Oscillation, third order, quasilinear, difference equation, Schwarz’s inequalityMathematics Subject Classification:
39A11- Pages: 142-147
- Date Published: 01-10-2013
- Vol. 1 No. 04 (2013): Malaya Journal of Matematik (MJM)
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