carpathian_2022_38_2_383_390_001

Oscillations of second-order noncanonical advanced difference equations via canonical transformation


Chatzarakis, G. E., Indrajith, N., Panetsos, S. L. and Thandapani, E.


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carpathian_2022_38_2_383_390

This paper introduces a new improved method for obtaining the oscillation of a second-order advanced difference equation of the form

    \begin{equation*} \Delta(\eta(n)\Delta\chi(n))+f(n)\chi(\sigma(n))=0 \end{equation*}

where \eta(n)>0, \sum_{n=n_0}^{\infty}\frac{1}{\eta(n)}<\infty, f(n)>0, \sigma(n)\geq n+1, and \{\sigma(n)\} is a monotonically increasing integer sequence. We derive new oscillation criteria by transforming the studied equation into the canonical form. The obtained results are original and improve on the existing criteria. Examples illustrating the main results are presented at the end of the paper.

Additional Information

Author(s)

  Panetsos, S. L.,  Indrajith, N., Chatzarakis, G. E., Thandapani, E.

DOI

https://doi.org/10.37193/CJM.2022.02.09